Jeg har ikke lyst til at gå ud i regnen, så jeg bliver hjemme.

At have lyst til is a very common Danish expression meaning to feel like, to want to, or to be in the mood to do something.

• jeg har lyst til at gå ud = I feel like going out
• jeg har ikke lyst til at gå ud = I don’t feel like going out

It is often softer and more natural than a direct jeg vil ikke. A native speaker may choose har ikke lyst til when they mean lack of desire, not strong refusal.

In a Danish main clause, the finite verb usually comes in second position, and ikke normally comes after that finite verb.

So the pattern is:

• Jeg
  • har
    • ikke
      • lyst til ...

This is normal Danish word order.

Compare:

• Jeg har ikke lyst ...
• Han kommer ikke i dag.

A useful contrast: in many subordinate clauses, ikke comes before the finite verb:

• fordi jeg ikke har lyst

So the word order changes depending on whether the clause is main or subordinate.

Because til belongs to the fixed expression have lyst til, and at is the infinitive marker before the verb.

So the structure is:

• have lyst til
  • noun
    
    • Jeg har lyst til kaffe.
• have lyst til at
  • verb
    
    • Jeg har lyst til at sove.

In your sentence:

• lyst til = part of the expression
• at gå = the infinitive verb phrase

So til and at are doing different jobs.

Gå ud means go out or go outside. The word ud makes it clear that the speaker means leaving the place they are in now.

• gå by itself often means walk or go
• gå ud specifically means go out / go outside

In this sentence, the speaker does not want to go out into the rain, so ud is important.

You could also hear:

• gå udenfor = go outside

But gå ud is very natural here.

Danish normally says i regnen for in the rain.

The definite form regnen is natural because it refers to the actual rain that is there now, the rainy conditions around the speaker.

So:

• gå ud i regnen = go out into the rain

Using i regn would sound unnatural in this sentence. Danish usually wants the definite form here, just like English usually says in the rain, not in rain.

Here så means so, introducing a result or consequence.

The logic is:

• I don’t feel like going out in the rain,
• so I’m staying home.

So så connects the two ideas very naturally.

It is a coordinating conjunction here, joining two main clauses.

Because så here is a coordinating conjunction, not a sentence adverb.

After a coordinating conjunction such as og, men, or så, the next clause usually keeps normal main-clause order:

• så jeg bliver hjemme

If you used an adverb like derfor instead, Danish would usually invert the subject and verb:

• Derfor bliver jeg hjemme.

So:

• så jeg bliver hjemme = correct after conjunction så
• derfor bliver jeg hjemme = correct with adverb derfor

Blive hjemme is the normal idiomatic way to say stay home or stay at home.

• jeg bliver hjemme = I’m staying home / I’ll stay home
• jeg er hjemme = I am at home

So er hjemme describes a location or state, while bliver hjemme expresses the decision to remain at home instead of going out.

In this sentence, the speaker is choosing not to go out, so bliver hjemme is the right choice.

This is an important Danish distinction:

• hjem usually shows movement toward home
• hjemme shows location or being at home

Examples:

• Jeg går hjem. = I go home
• Jeg er hjemme. = I am at home
• Jeg bliver hjemme. = I stay home

Since the speaker is not moving toward home, but remaining there, hjemme is correct.

Yes. Danish often uses the present tense for a near-future decision or consequence when the meaning is clear from context.

So:

• så jeg bliver hjemme

can mean:

• so I’m staying home
• so I’ll stay home

Both are good English translations depending on context.

You could also say:

• så vil jeg blive hjemme

but the simple present bliver is very natural and often sounds less heavy.

Yes, but the nuance changes.

• Jeg har ikke lyst til at gå ud i regnen
  = I don’t feel like going out in the rain
  This sounds like lack of desire or mood.

• Jeg vil ikke gå ud i regnen
  = I don’t want to go out in the rain / I won’t go out in the rain
  This can sound stronger, more direct, or more like refusal.

Another common option is:

• Jeg gider ikke gå ud i regnen

This is more colloquial and can sound stronger, like I can’t be bothered to go out in the rain.

So the original sentence is a very natural, neutral, everyday way to express the idea.