У неё большой талант.

Russian often expresses possession with the pattern у + genitive + noun, literally at someone there is...

So:

• У неё = she has / at her
• большой талант = great talent

While она имеет is grammatically possible, it sounds more formal, bookish, or less natural in everyday speech. In normal conversation, Russians usually prefer:

• У неё большой талант. = She has great talent.

This possession pattern is one of the most common structures in Russian.

Неё is in the genitive case.

That is because the preposition у requires the genitive when it means possession or location near someone/something.

The pronoun changes like this:

• она = she
• её = her
• у неё = at her / she has

So in У неё большой талант, the phrase у неё is a fixed possession structure, and that is why the pronoun is not она.

After many prepositions, Russian personal pronouns beginning with е, ё, ю, or я take an extra н at the beginning.

So:

• её = her
• but у неё = at her / she has

Other similar examples:

• у него = at him / he has
• к ней = to her
• с ним = with him

This added н is just a normal grammatical rule with pronouns after prepositions.

In the present tense, Russian usually does not use a separate verb meaning has in this structure.

English says:

• She has great talent.

Russian says more literally:

• At her [is] great talent.

The verb есть can sometimes appear, but in ordinary present-tense possession sentences it is often omitted:

• У неё талант.
• У неё есть талант.

Both are possible, but they are not always used in exactly the same way.

Here, У неё большой талант is a very natural way to say She has great talent.

Yes, большой literally means big or large, but in this sentence it means something more like:

• great
• considerable
• remarkable

So большой талант is not about physical size. It means a lot of talent or great talent.

Russian often uses большой in this broader sense:

• большой успех = great success
• большая проблема = a big problem
• большой талант = great talent

Because талант is a masculine singular noun.

Adjectives in Russian must agree with the noun they describe in:

• gender
• number
• case

Since талант is:

• masculine
• singular
• nominative

the adjective must also be:

• masculine
• singular
• nominative

So:

• большой талант

Compare:

• большая способность = great ability (способность is feminine)
• большое дарование = great gift/talent (дарование is neuter)

Талант is in the nominative singular.

In this kind of possession sentence, the thing possessed is often in the nominative:

• У неё талант.
• У меня машина.
• У них дом.

So here:

• талант = nominative singular
• большой also matches it in nominative singular masculine

Yes, you can, but there is a nuance.

• У неё большой талант. sounds like a simple statement of fact: She has great talent.
• У неё есть большой талант. can sound a bit more emphatic, like She does have great talent or She possesses great talent.

In many everyday sentences about possession, Russian often leaves out есть in the present tense unless there is a reason to stress existence or possession.

So the version without есть is very natural here.

Yes, Russian word order is flexible, though different orders can shift emphasis.

Neutral order:

• У неё большой талант.

Possible alternatives:

• Большой талант у неё. — emphasizes great talent
• Талант у неё большой. — sounds contrastive, like Her talent is great
• У неё талант большой. — possible, but less neutral and more context-dependent

For a learner, У неё большой талант is the safest and most natural default.

Russian can express this idea in more than one way.

This sentence uses the noun талант:

• У неё большой талант. = She has great talent.

But Russian can also use an adjective:

• Она талантливая. = She is talented.

These are similar, but not identical.

• У неё большой талант focuses on the talent she possesses
• Она талантливая describes her as a talented person

Both are natural, but the sentence you were given specifically uses the possession structure.

Yes, the dots matter because ё is a separate letter from е.

• неё is pronounced roughly like nyi-YO
• The stress is on ё

In careful spelling, it should be written неё with dots. In many real texts, Russians sometimes omit the dots and write нее, but the intended pronunciation is still usually understood from context.

So in this sentence, the correct full spelling is:

• У неё большой талант.

Yes. Талант can refer to talent in a broad sense, not only artistic ability.

Depending on context, it could mean she has great talent in:

• music
• writing
• leadership
• teaching
• science
• sports

So the sentence is general. It simply says that she has a great deal of talent, without specifying in what area.