Dyrektorka naszej firmy powiedziała, że jutro przyjedzie wcześniej niż zwykle.

Yes. Dyrektorka is a feminine noun meaning a female director/manager.

A native English speaker often notices that Polish job titles can have masculine and feminine forms:

• dyrektor = director, male director
• dyrektorka = female director

In modern Polish, dyrektorka is widely used and sounds natural in many contexts. You may also still hear dyrektor used about a woman, especially in more traditional or institutional style, but dyrektorka clearly marks that the person is female.

In this sentence, the speaker is explicitly referring to a woman, so dyrektorka fits perfectly.

Because the subject is feminine: dyrektorka.

In Polish past tense, the verb agrees with the gender of the subject in the singular:

• powiedział = he said
• powiedziała = she said

So:

• Dyrektor powiedział = The male director said
• Dyrektorka powiedziała = The female director said

This is one of the big differences from English: in Polish, past-tense verbs often show gender directly.

Because this phrase means of our company, so it uses the genitive case.

The structure is:

• dyrektorka = director
• naszej firmy = of our company

So literally, Polish says something like the director of our company.

Why genitive?

Because when one noun is linked to another in the sense of of X, Polish often uses the genitive:

• firma = company
• firmy = of the company
• nasza firma = our company
• naszej firmy = of our company

Also notice agreement:

• firma is feminine singular
• so naszej matches it in gender, number, and case

If our company were the subject, you would use nasza firma:

• Nasza firma rośnie. = Our company is growing.

But after dyrektorka, we need naszej firmy.

Because in Polish, a subordinate clause introduced by że normally takes a comma.

Here the sentence has two parts:

• Dyrektorka naszej firmy powiedziała
• że jutro przyjedzie wcześniej niż zwykle

The second part is a subordinate clause, introduced by że = that.

So the comma is standard Polish punctuation:

• powiedziała, że...

This is much more regular in Polish than in English. In English, you often would not write a comma before that in a sentence like this, but in Polish the comma is expected.

Usually no, not in normal standard Polish.

In English, you can say:

• She said that she would come
• She said she would come

But in Polish, after powiedzieć, you normally keep że:

• Powiedziała, że przyjedzie.

Leaving it out would sound wrong or at least very unnatural in standard usage.

So this is a good habit for learners: after verbs like powiedzieć, myśleć, uważać, wiedzieć, etc., a content clause is very often introduced by że.

Because przyjedzie is the future form of the perfective verb przyjechać, meaning to arrive / come (by vehicle, reach a destination).

Here the idea is one completed future event: she will arrive tomorrow.

That is why Polish uses the perfective future:

• przyjechać → przyjedzie

This is very natural for a single arrival.

Compare:

• przyjeżdżać = to come/arrive repeatedly, habitually, or imperfectively
• przyjechać = to arrive once, successfully reach the place

So:

• jutro przyjedzie = tomorrow she will arrive
• jutro będzie przyjeżdżać would suggest repeated or ongoing coming, which does not fit this sentence

Because Polish does not do tense backshifting in the same way English often does.

English often says:

• She said that she would arrive tomorrow.

Polish usually keeps the tense that matches the real time of the event:

• Powiedziała, że jutro przyjedzie.

The arrival is still in the future, so Polish uses the future:

• przyjedzie = will arrive

Even though the reporting verb is in the past:

• powiedziała = said

This is completely normal in Polish.

So a good learner rule is: In reported speech, Polish usually keeps the original time reference more directly than English does.

Because here we need an adverb, and specifically a comparative adverb.

We are describing how she will arrive:

• wcześnie = early
• wcześniej = earlier

Since the sentence compares her arrival time to the usual time, the comparative is needed:

• earlier than usual

Why not wcześniejsza?

Because wcześniejsza is an adjective, not an adverb. It would describe a noun:

• wcześniejsza godzina = an earlier hour
• wcześniejszy pociąg = an earlier train

But here we are modifying the verb przyjedzie, so Polish needs the adverb:

• przyjedzie wcześniej

It means than usual.

The structure is:

• wcześniej = earlier
• niż = than
• zwykle = usually / as usual

Together:

• wcześniej niż zwykle = earlier than usual

This is a very common comparison pattern in Polish:

• szybciej niż ja = faster than me
• lepiej niż wczoraj = better than yesterday
• później niż zwykle = later than usual

A useful distinction:

• zwykle = usually
• jak zwykle = as usual

So:

• wcześniej niż zwykle = earlier than usual
• jak zwykle = as usual

Przyjedzie is enough.

Polish often omits subject pronouns when the subject is already clear from context or from the verb form.

In this sentence, the subject has already been identified:

• Dyrektorka naszej firmy powiedziała...

So in the subordinate clause, Polish does not need to repeat ona:

• że jutro przyjedzie wcześniej niż zwykle

Adding ona is possible, but it would usually add emphasis or contrast:

• ...że ona jutro przyjedzie wcześniej niż zwykle
  This can sound like she, specifically, will come earlier, maybe contrasting with someone else.

So the version without ona is the neutral one.

Polish word order is fairly flexible, but the original sentence is a very natural neutral order.

You can move some elements, especially inside the subordinate clause, for emphasis:

• Dyrektorka naszej firmy powiedziała, że jutro przyjedzie wcześniej niż zwykle.
• Dyrektorka naszej firmy powiedziała, że przyjedzie jutro wcześniej niż zwykle.
• Dyrektorka naszej firmy powiedziała, że wcześniej niż zwykle przyjedzie jutro.
  This is possible, but much less neutral and more marked.

The most natural version is usually the one you were given.

So the short answer is:

• not completely fixed
• but the original order is the safest and most natural for a learner

It is in the nominative singular, because it is the subject of the main clause.

The main clause is:

• Dyrektorka naszej firmy powiedziała = The director of our company said

Here dyrektorka is the person doing the action of powiedziała, so it is the subject.

This gives us:

• dyrektorka = nominative singular
• naszej firmy = genitive singular

So the sentence is a nice example of a nominative subject followed by a genitive phrase that specifies it.

A good clue is the conjunction że and the comma before it.

Main clause:

• Dyrektorka naszej firmy powiedziała

Subordinate clause:

• że jutro przyjedzie wcześniej niż zwykle

A helpful learner strategy is:

1. Find the finite verb in the first part: powiedziała
2. Look for a conjunction like że
3. Everything after że forms the content of what was said

So structurally, this is:

• [Someone said] + [that ...]

Once you spot that pattern, the sentence becomes much easier to understand grammatically.