Hendes chef siger, at hun gerne må arbejde hjemmefra, så længe håndleddet ikke gør mere ondt.

Because sin/sit/sine are reflexive possessives in Danish. They refer back to the subject of the same clause.

In Hendes chef siger ..., the possessive is inside the subject noun phrase itself, so there is no subject already established for sin to refer back to. That is why Danish uses hendes.

Compare:

• Hun taler med sin chef = She talks to her own boss
• Hun taler med hendes chef = She talks to her boss, but her refers to some other woman, not the subject

So in this sentence, hendes chef is the correct form.

Because Danish changes word order in subordinate clauses.

After at, the clause is subordinate, and words like gerne and ikke normally come before the finite verb. So you get:

• main clause: Hun må gerne arbejde hjemmefra
• subordinate clause: at hun gerne må arbejde hjemmefra

This is a very common Danish pattern:

• main clause: Han kommer ikke
• subordinate clause: at han ikke kommer

So at hun gerne må arbejde is the expected subordinate-clause order.

Here gerne må expresses permission in a friendly or willing way.

• må = may / be allowed to
• gerne adds the sense of willingly, go ahead, or that is fine

So hun gerne må arbejde hjemmefra is not just a dry she may work from home. It is more like:

• she is allowed to work from home
• she is welcome to work from home
• it is perfectly fine for her to work from home

It does not mean that she likes to work from home. In this sentence, gerne softens and supports the permission.

Yes, it can be ambiguous without context.

Hendes chef siger, at hun ... could in principle mean:

• her boss says that she = the woman we are talking about
• her boss says that she = some other female person

In normal context, listeners usually work it out easily. Very often, hun will be understood as the woman whose boss is being mentioned, but grammar alone does not force that reading.

So Danish is similar to English here: the pronoun can be unclear unless the wider context makes it obvious.

Hjemmefra is the normal Danish word for from home in the work-related sense.

• arbejde hjemmefra = work from home
• arbejde hjemme = work at home / work while at home

In many situations, both are possible, but hjemmefra is the standard expression when talking about remote work.

Also, hjemmefra is one word in Danish.

Så længe means as long as and introduces a condition.

So this part means something like:

• as long as the wrist ...

Because så længe starts a subordinate clause, Danish uses subordinate word order. That is why the negation comes before the finite verb:

• ikke gør
• not gør ikke

This is the same pattern as after at:

• at hun ikke kommer
• så længe håndleddet ikke gør mere ondt

In Danish, body parts are often expressed with the definite form when the owner is obvious from context.

So:

• håndleddet = the wrist
• et håndled = a wrist

Danish often prefers:

• Hun brækkede armen = She broke her arm
• Han vasker hænderne = He washes his hands

Instead of explicitly saying her arm or his hands every time.

You can say hendes håndled if you want to emphasize whose wrist it is, but håndleddet is very natural here.

Also, håndled is a neuter noun:

• et håndled
• håndleddet

Gøre ondt is a fixed Danish expression meaning to hurt or to be painful.

Examples:

• Det gør ondt = It hurts
• Min ryg gør ondt = My back hurts
• Håndleddet gør ondt = The wrist hurts

You do not translate it word-for-word. It is simply the normal Danish way to talk about pain.

The form ondt is part of this fixed expression, so learners should try to remember gøre ondt as a whole unit.

Here mere means more, so gør mere ondt means hurts more or becomes more painful.

That word order matters:

• gør mere ondt = hurts more
• gør ondt mere = hurts anymore / still hurts, depending on context

So:

• håndleddet ikke gør mere ondt = the wrist does not hurt more
• håndleddet ikke gør ondt mere = the wrist does not hurt anymore

This is an important difference for learners, because English often uses more and anymore in very different ways, while Danish uses mere in both patterns depending on position.

Usually, with gøre ondt, Danish prefers mere ondt.

So the natural pattern is:

• Det gør mere ondt nu = It hurts more now

Værre is more natural when talking about a situation becoming worse in general:

• Det bliver værre = It gets worse

So for pain itself, gøre mere ondt is the most idiomatic choice here.