Ana mai doarme.

Here mai means still.

So Ana mai doarme means Ana is still sleeping or Ana still sleeps / is still asleep, depending on context.

In this sentence, mai shows that the action is continuing.

No. Mai is a very common Romanian word with several meanings.

Some common uses are:

• still → Ana mai doarme
• more → Mai vreau apă = I want more water
• sometimes it helps form ideas like another, again, or adds emphasis depending on context

So you should learn mai by context. In Ana mai doarme, the natural meaning is still.

Doarme is the 3rd person singular present form of the verb a dormi = to sleep.

Conjugation in the present:

• eu dorm = I sleep
• tu dormi = you sleep
• el/ea doarme = he/she sleeps
• noi dormim = we sleep
• voi dormiți = you all sleep
• ei/ele dorm = they sleep

Because Ana is one person, Romanian uses doarme.

Because Romanian often does not need a subject pronoun when the subject is already clear.

Here the subject is explicitly named: Ana. So there is no need to add ea = she.

• Ana mai doarme = Ana is still sleeping
• Ea mai doarme = She is still sleeping

Both are possible, but if you already say Ana, adding ea would usually be unnecessary.

Yes. This is a very natural, neutral word order:

• Ana = subject
• mai = adverb
• doarme = verb

Romanian word order is fairly flexible, but this version is the most straightforward.

Other orders can appear for emphasis or in questions, for example:

• Mai doarme Ana? = Is Ana still sleeping?
• Ana doarme încă = similar meaning, with a slightly different placement of still

But Ana mai doarme is the standard neutral pattern.

Both mai and încă can often mean still.

So these are both possible:

• Ana mai doarme
• Ana încă doarme

In many contexts they are very close in meaning. But there is often a slight difference in feel:

• mai is extremely common and often sounds very natural in everyday speech
• încă can sound a little more explicit, like still / yet

Also, mai has many other functions in Romanian, while încă is more specifically tied to meanings like still or yet.

For a learner, the safest idea is:

• in this sentence, mai = still
• încă could often replace it with little change in meaning

Yes, it can, depending on tone and context.

By itself, Ana mai doarme is neutral: it simply states that Ana is still asleep.

But in real speech, intonation can add feelings such as:

• surprise
• impatience
• mild annoyance
• simple observation

So Romanian, like English, can let tone carry extra meaning even when the words themselves are neutral.

A simple learner-friendly pronunciation is:

• Ana → AH-na
• mai → roughly like English my
• doarme → roughly DOAR-me

A bit more precisely:

• Ana has stress on the first syllable: A-na
• mai is one syllable
• doarme is usually stressed on the first syllable: DOAR-me

The oa in doarme is pronounced together, something like oah.

To make it a question, Romanian often keeps the same words and changes the intonation:

• Ana mai doarme? = Is Ana still sleeping?

You can also change the order:

• Mai doarme Ana? = Is Ana still sleeping?

To make it negative:

• Ana nu mai doarme. = Ana is no longer sleeping.

Notice something important:

• mai in a positive sentence = still
• nu mai often means no longer / not anymore

That is a very useful Romanian pattern.

It can correspond to either one, depending on context.

Romanian present tense often covers both:

• she sleeps
• she is sleeping

So Ana mai doarme can mean:

• Ana still sleeps
• Ana is still sleeping
• Ana is still asleep

In most everyday situations, the best English translation is usually Ana is still sleeping.