Sy het moeite met die werk.

Both meanings exist in Afrikaans, but here sy means she.

You can tell because Sy is the subject of the sentence and comes before the verb het. If it meant his, it would usually come before a noun, for example:

• sy werk = his work

At the start of a sentence it is capitalized as Sy, but that capitalization does not change the meaning.

Yes, it is present tense here.

The verb hê means to have, and its present-tense finite form is het for all persons:

• ek het = I have
• jy het = you have
• sy het = she has
• ons het = we have

Afrikaans also uses het in perfect-tense constructions, but then it is followed by a past participle:

• Sy het gewerk = She worked / She has worked

In Sy het moeite met die werk, there is no past participle, so het simply means has.

Yes. It is very useful to learn moeite hê met as a set phrase.

It means:

• to have difficulty with
• to have trouble with
• to struggle with

So this sentence follows a very common pattern:

• iemand het moeite met iets
  = someone has difficulty with something

Examples:

• Ek het moeite met Afrikaans. = I have difficulty with Afrikaans.
• Hy het moeite met wiskunde. = He has trouble with maths.

Because in this expression, moeite is normally used without an article.

Afrikaans treats it like an abstract noun in the fixed phrase moeite hê met, much like English trouble in have trouble with.

So:

• Sy het moeite met die werk. = natural
• adding 'n would usually not be the normal phrasing here

Met means with.

After moeite hê, it introduces the thing that is causing the difficulty:

• moeite met die werk = difficulty with the work
• moeite met Afrikaans = difficulty with Afrikaans
• moeite met die kinders = difficulty with the children

So the pattern is:

• moeite hê met + noun

Yes. Die is the normal definite article in Afrikaans, meaning the.

A helpful point for English speakers is that Afrikaans does not change the article for gender the way some other languages do. Die is used very widely for both singular and plural nouns:

• die boek = the book
• die boeke = the books
• die werk = the work

Here it is a noun, because it follows the article die:

• die werk = the work

But werk can also be a verb:

• Sy werk hard. = She works hard.

So the meaning depends on context. In this sentence, it clearly means work as a thing, not to work as an action.

It follows the normal Afrikaans main-clause pattern:

• Sy = subject
• het = finite verb
• moeite met die werk = the rest of the sentence

So the structure is:

• subject + finite verb + rest

Afrikaans is a verb-second language in main clauses, so the finite verb normally comes early in the sentence, in second position.

You would normally say:

Sy het nie moeite met die werk nie.

Afrikaans usually uses a double nie in negative sentences:

• the first nie comes after the finite verb or early in the clause
• the second nie goes at the end

This is one of the most important Afrikaans patterns to get used to.

A rough pronunciation guide is:

• sy ≈ say
• moeite ≈ MOOY-tuh

That is only approximate, but it is a useful starting point.

If you want to sound more natural, it helps to hear native audio, because Afrikaans vowels and diphthongs do not always match English exactly.