Hun vil giftes med sin kæreste.

Because Danish uses the reflexive possessive sin/sit/sine when the possessor is the same as the subject of the clause.

• Hun = the subject
• sin kæreste = her own partner

So:

• Hun vil giftes med sin kæreste = she wants to marry her own partner
• Hun vil giftes med hendes kæreste would usually mean she wants to marry another woman’s partner

Also, sin matches the noun being possessed:

• sin for common gender singular
• sit for neuter singular
• sine for plural

Since kæreste is a common-gender singular noun, sin is the correct form.

Not necessarily. Vil can mean several related things in Danish, including:

• wants to
• intends to
• will / is going to

In this sentence, it often suggests wish or intention, not just neutral future.

So depending on context, Hun vil giftes med sin kæreste can feel like:

• she wants to marry her partner
• she plans to marry her partner
• she will marry her partner

Danish vil is often broader than English will.

Because after a modal verb like vil, Danish normally uses the bare infinitive without at.

Common modal verbs include:

• vil
• kan
• skal
• må
• bør

So you say:

• Hun vil giftes
• Han kan komme
• Vi skal gå

not:

• Hun vil at giftes
• Han kan at komme

Giftes is an -s form of the verb gifte. In this sentence, it works as the usual Danish way to say get married.

This can be confusing for English speakers because the -s ending often looks passive. Historically it is related to a passive form, but in modern Danish giftes is very often just treated as a normal verb meaning to get married.

So here it does not mean something awkward like be married by someone. It simply means marry / get married in the idiomatic Danish way.

Yes. That is also correct and very natural.

Both of these are used:

• Hun vil giftes med sin kæreste
• Hun vil gifte sig med sin kæreste

They are very close in meaning. For a learner, it is useful to recognize both patterns:

• giftes med nogen
• gifte sig med nogen

In everyday Danish, many speakers may prefer gifte sig, but giftes is also common, especially in set expressions like de skal giftes.

Because the verb pattern is:

• giftes med nogen or
• gifte sig med nogen

So the person being married is introduced with med.

Examples:

• Hun gifter sig med ham
• De skal giftes med hinanden

This is just part of how the verb is constructed in Danish. English uses a direct object in marry someone, but Danish usually uses med in this kind of sentence.

Kæreste is gender-neutral. It can mean:

• boyfriend
• girlfriend
• partner

The word itself does not tell you the person’s gender. You only know from context.

So sin kæreste could be:

• her boyfriend
• her girlfriend
• her partner

depending on the situation.

Because possessives replace the article.

Just like in English you say:

• her boyfriend

not:

• her the boyfriend

in Danish you say:

• sin kæreste

not:

• sin en kæreste

So once you use a possessive like min, din, hans, hendes, sin, you do not also use en/et.

The finite verb vil is in the present tense, but the whole sentence refers to a future action or intention.

So grammatically, Danish is using present-tense vil + infinitive, but semantically the sentence points forward.

That is very normal in Danish:

• Jeg vil rejse i morgen
• De vil købe et hus
• Hun vil giftes med sin kæreste

So even though vil is present tense, the meaning is about what she wants or plans to do later.

With negation, ikke normally comes after the finite verb:

• Hun vil ikke giftes med sin kæreste.
  = She does not want to / will not marry her partner.

In a yes-no question, the finite verb comes first:

• Vil hun giftes med sin kæreste?
  = Does she want to marry her partner?

This is a good example of normal Danish word order:

• statement: Hun vil ...
• question: Vil hun ...