هي مشغولة النهارده.

In Egyptian Arabic, the present tense of "to be" is usually not said.

So:

• هي مشغولة النهارده
• literally: she busy today
• natural English: She is busy today

This is normal in both Egyptian Arabic and Standard Arabic.
If you want past or future, then Arabic uses other words:

• هي كانت مشغولة = She was busy
• هي هتكون مشغولة = She will be busy

So in the present, leaving out is is exactly what you should expect.

Here is the breakdown:

• هي = she
• مشغولة = busy (feminine)
• النهارده = today

So the structure is:

• pronoun + adjective + time expression

Very literally:

• She busy today

This is a very common sentence pattern in Egyptian Arabic.

Because the sentence is talking about a female.

In Arabic, adjectives agree with the person they describe. Since هي means she, the adjective must be feminine:

• مشغول = busy, masculine
• مشغولة = busy, feminine

So:

• هو مشغول النهارده = He is busy today
• هي مشغولة النهارده = She is busy today

The feminine form often adds ـة / -a at the end.

Yes, very often you can.

Egyptian Arabic frequently drops subject pronouns when the meaning is clear from context. So if everyone already knows who you are talking about, you can simply say:

• مشغولة النهارده = She’s busy today / I’m busy today / It’s busy today, depending on context

But including هي makes it explicit that you mean she.

So:

• هي مشغولة النهارده = clearer, more explicit
• مشغولة النهارده = natural if the context already tells you who

In Egyptian Arabic, هي is usually pronounced something like:

• heyya
• or more simply hiyya

It is not usually said like English he.

A helpful approximation is:

• هي → HI-yya or HEY-ya

The exact pronunciation can vary a little by speaker, but the important thing is that it is the feminine "she" pronoun.

A common pronunciation is:

• mashghoola

You can think of it in parts:

• mash-
• ghoo
• -la

A few pronunciation notes:

• ش = sh
• غ is a throaty sound, often approximated as a French or German r-like sound, or a voiced gargled sound
• و here gives the long oo
• the final ة is pronounced like a in Egyptian Arabic in pause

So مشغولة sounds roughly like mash-GHOO-la.

Yes, in Egyptian Arabic النهارده means today.

It is a very common everyday Egyptian word. You will often hear it pronounced:

• ennaharda
• en-naharda

Historically, it comes from something like this day, but for learners it is best to treat it simply as the normal Egyptian Arabic word for today.

Compare:

• Egyptian Arabic: النهارده
• Standard Arabic: اليوم

Both mean today, but النهارده is the everyday Egyptian form.

Because of assimilation of the Arabic definite article الـ.

When الـ comes before certain letters, the l sound blends into the next consonant. These are called sun letters. The letter ن is one of them.

So:

• underlying form: ال + نهارده
• pronounced: en-naharda / ennaharda

The l is not really heard; instead, the n gets doubled.

This is why learners often hear:

• not al-naharda
• but en-naharda

This is Egyptian Arabic.

The biggest clue is النهارده, which is a very Egyptian way to say today.

In Standard Arabic, you would more likely say:

• هي مشغولة اليوم

In everyday Egyptian speech, though, هي مشغولة النهارده sounds natural and common.

So this sentence is a good example of spoken Egyptian Arabic, not formal Standard Arabic.

The sentence as given is very natural:

• هي مشغولة النهارده

This is basically:

• subject + adjective + time

You can also move the time expression for emphasis:

• النهارده هي مشغولة = Today, she’s busy

Both are possible, but the original order is probably the most neutral and common.

You change the pronoun, and sometimes the adjective form too.

Examples:

• هو مشغول النهارده = He is busy today
• هي مشغولة النهارده = She is busy today
• أنا مشغول النهارده = I am busy today (said by a male)
• أنا مشغولة النهارده = I am busy today (said by a female)
• هم مشغولين النهارده = They are busy today

So the adjective changes to match gender and sometimes number.

No. مشغولة can mean busy in a broad sense.

It can be used for:

• busy with work
• busy with errands
• occupied
• tied up
• not free right now

So if someone says:

• هي مشغولة النهارده

it does not have to mean she is working. It just means she has things going on and is not available or free.

Context tells you what kind of busy is meant.