Heimilislæknirinn kemur í heimavitjun.

It means the family doctor or the GP.

In Icelandic, heimilislæknir is the usual word for a general practitioner / family doctor. So:

• heimilislæknir = family doctor / GP
• heimilislæknirinn = the family doctor / the GP

The -inn at the end is what makes it definite, so Icelandic usually does not need a separate word like English the.

Because Icelandic usually puts the definite article onto the end of the noun.

So instead of:

• English: the doctor

you often get:

• Icelandic: læknirinn

In this sentence:

• heimilislæknir = family doctor
• heimilislæknirinn = the family doctor

This is a very common Icelandic pattern.

It is a compound word:

• heimilis- = related to home / household
• læknir = doctor
• -inn = the

So literally it is something like the household doctor, but the natural English meaning is the family doctor or the GP.

The first part, heimilis-, comes from heimili meaning home or household. In compounds, Icelandic often uses this kind of form before the second noun.

Kemur is the present tense of koma, which means to come.

Here it is:

• koma = to come
• kemur = comes / is coming

More specifically, kemur is the 3rd person singular present form, because the subject is singular:

• Heimilislæknirinn = the family doctor
• so the verb is singular: kemur

Yes. Very often, the Icelandic present tense can correspond to either simple present or present progressive in English, depending on context.

So this sentence could be understood as:

• The family doctor comes on a home visit
• The family doctor is coming on a home visit
• The GP is coming for a home visit

In real usage, context tells you which English translation sounds best.

Heimavitjun means a home visit or a house call.

It is also a compound word:

• heima- / heima relates to home
• vitjun = visit, especially in a somewhat formal or professional sense

So í heimavitjun means something like:

• on a home visit
• for a house call

In medical context, house call is often the most natural English equivalent.

This is the natural Icelandic expression for this idea.

Literally, í often means in / into, but with certain nouns and set expressions it can be translated more idiomatically. Here:

• koma í heimavitjun = come on a home visit / come for a house call

So you should not translate it too literally word-for-word. The whole phrase works as a unit.

A similar pattern is:

• koma í heimsókn = come for a visit

Normally, í can take:

• accusative for movement into something
• dative for being in something / location

With kemur í heimavitjun, learners will often think of it as the movement pattern, so accusative is the usual explanation.

However, there is one important detail: the noun heimavitjun has the same visible form in more than one singular case, so you do not actually see a spelling change here. That is why the case is not obvious just from the form itself.

For learning purposes, the most useful thing is to remember the whole phrase:

• koma í heimavitjun

This sentence has straightforward word order:

• Heimilislæknirinn = subject
• kemur = verb
• í heimavitjun = prepositional phrase

So it is basically:

• The family doctor
  • comes
    • on a home visit

That said, Icelandic is a verb-second language in main clauses. So if you move another element to the front, the verb still usually stays in second position. For example:

• Á morgun kemur heimilislæknirinn í heimavitjun.
• Tomorrow the family doctor is coming on a home visit.

Notice that kemur still comes early in the sentence.

It could be, but it means something slightly different.

• Heimilislæknirinn kemur í heimavitjun = a simple, neutral statement: The GP comes / is coming on a home visit
• Heimilislæknirinn er að koma í heimavitjun = more explicitly is in the process of coming or is just about to come

The plain present tense is often enough in Icelandic, where English might prefer is coming.

Yes. It sounds natural and clear, especially in a medical context.

Depending on context, an English speaker might translate it a few slightly different ways:

• The GP is coming on a home visit.
• The family doctor is making a house call.
• The doctor is coming for a home visit.

All of those fit the Icelandic sentence well.