Jeg drikker kaffe ude på terrassen om morgenen.

Drikker is the present tense of the verb at drikke (to drink).

So:

• at drikke = to drink
• jeg drikker = I drink / I am drinking

In Danish, the present tense usually ends in -r:

• jeg spiser = I eat / I am eating
• jeg bor = I live
• jeg læser = I read / I am reading

Unlike English, Danish does not usually distinguish between I drink and I am drinking in the verb form. Jeg drikker kaffe can mean either, depending on context.

In Danish, mass nouns like coffee, water, tea, milk, etc. often appear without an article, just like in English.

So:

• Jeg drikker kaffe = I drink coffee
• Hun drikker te = She drinks tea
• Vi køber brød = We buy bread

If you wanted to say a coffee in the sense of a cup of coffee, Danish can say:

• en kaffe

But in your sentence, kaffe means coffee in a general sense, so no article is needed.

Ude på means something like out on or outside on.

In this sentence:

• ude = out, outside
• på terrassen = on the terrace

Together, ude på terrassen emphasizes that the speaker is outside, on the terrace.

Compare:

• på terrassen = on the terrace
• ude på terrassen = out on the terrace / outside on the terrace

So ude adds a sense of being outdoors.

Terrassen is the definite form of terrasse.

• en terrasse = a terrace
• terrassen = the terrace

Danish often adds the definite article to the end of the noun instead of putting a separate word in front.

Examples:

• en bog = a book
• bogen = the book
• et hus = a house
• huset = the house

So på terrassen means on the terrace.

Om morgenen is the normal expression for in the morning in a general or habitual sense.

• morgen = morning
• morgenen = the morning
• om morgenen = in the morning(s)

This is a fixed expression in Danish. You will often see time expressions like this with om + definite noun:

• om morgenen = in the morning
• om aftenen = in the evening
• om natten = at night

So even though English says in the morning, Danish uses om morgenen.

This is an important distinction.

• om morgenen = in the morning, generally / habitually
• i morges = this morning

So:

• Jeg drikker kaffe om morgenen = I drink coffee in the morning / in the mornings
• Jeg drak kaffe i morges = I drank coffee this morning

Your sentence sounds like a habit or a general routine, not one specific morning.

It can technically be either, because Danish present tense often covers both meanings:

• I drink coffee out on the terrace in the morning
• I am drinking coffee out on the terrace in the morning

But with om morgenen, the sentence most naturally sounds like a habit or routine:

• I drink coffee out on the terrace in the morning

If you wanted to make it clearly about right now, Danish would usually add something like:

• lige nu = right now
• Jeg drikker kaffe ude på terrassen lige nu.

In a normal main clause, Danish usually follows V2 word order, which means the finite verb comes in the second position.

Here the first position is:

• Jeg

The second position is:

• drikker

Then come the other elements:

• kaffe
• ude på terrassen
• om morgenen

So the structure is:

• Jeg | drikker | kaffe ude på terrassen om morgenen

This is the standard word order for a simple statement.

Then Danish still keeps the verb in the second position, so the subject must move after the verb:

• Om morgenen drikker jeg kaffe ude på terrassen.

Not:

• Om morgenen jeg drikker ... ❌

This is a classic Danish word order pattern:

• I dag går jeg på arbejde.
• Om sommeren spiser vi udenfor.
• På terrassen drikker jeg kaffe.

So if a time expression comes first, the verb still stays second.

Yes, absolutely.

• Jeg drikker kaffe på terrassen om morgenen.

This is perfectly correct and natural.

Adding ude simply makes it more explicit that you are outside. In many contexts, på terrassen already suggests that, so ude is often optional.

Very roughly:

• på terrassen = on the terrace
• ude på terrassen = out on the terrace

Because a terrace is thought of as a surface/area you are on, not a container you are inside.

So Danish uses:

• på terrassen = on the terrace

Compare:

• i huset = in the house
• i køkkenet = in the kitchen
• på terrassen = on the terrace
• på altanen = on the balcony

A good rule of thumb is:

• i for being inside something
• på for being on a surface or area

Not perfectly. The parts correspond roughly like this:

• Jeg = I
• drikker = drink / am drinking
• kaffe = coffee
• ude på terrassen = out on the terrace
• om morgenen = in the morning

But Danish and English do not always match word-for-word, especially in expressions like:

• om morgenen = in the morning, not about the morning
• terrassen = the terrace, with the definite article attached at the end

So it is better to learn the sentence as natural Danish rather than trying to map every word exactly.

In a yes/no question, Danish usually puts the verb before the subject:

• Drikker jeg kaffe ude på terrassen om morgenen?

That means:

• drikker = verb first
• jeg = subject second

This is similar to English inversion:

• Do I drink coffee ... ?

For a question word, you could say:

• Hvor drikker jeg kaffe om morgenen? = Where do I drink coffee in the morning?
• Hvornår drikker jeg kaffe ude på terrassen? = When do I drink coffee out on the terrace?