Min forsikring dækker skaden på cyklen, hvis jeg sender billederne i dag.

Because forsikring is a common gender noun in Danish.

Danish has two grammatical genders:

• common gender → takes en in the indefinite form, and possessives like min
• neuter gender → takes et in the indefinite form, and possessives like mit

So:

• en forsikring = an insurance / insurance policy
• min forsikring = my insurance

If the noun were neuter, you would use mit instead.

Dækker is the present tense of at dække, which often means to cover.

In this sentence, Min forsikring dækker skaden means:

• My insurance covers the damage

This is the normal verb you use when talking about insurance paying for or covering a loss, damage, or expense.

Skaden is the definite form of skade.

• en skade = a damage / a case of damage
• skaden = the damage

Danish usually adds the definite article to the end of the noun:

• en cykel → cyklen
• en skade → skaden

So dækker skaden means covers the damage, not just covers damage in a general sense.

På cyklen literally means on the bike, but in Danish this is the normal way to express damage to the bicycle in this kind of sentence.

So:

• skaden på cyklen = the damage to the bicycle

Danish often uses på where English uses to, on, or another preposition depending on the context. It is best to learn skaden på cyklen as a natural phrase.

Because the sentence refers to a specific bicycle, not just any bicycle.

• en cykel = a bicycle
• cyklen = the bicycle

In skaden på cyklen, both parts are definite:

• skaden = the damage
• cyklen = the bicycle

This sounds natural when both speaker and listener know which damage and which bike are being talked about.

Hvis means if.

It introduces a condition:

• hvis jeg sender billederne i dag = if I send the pictures today

This is very similar to English. It sets up the condition under which the insurance will cover the damage.

In Danish, the present tense is often used for the future when the meaning is clear from context.

So:

• hvis jeg sender billederne i dag
  literally = if I send the pictures today

Even though it refers to something that may happen later today, Danish does not need a special future form here.

This is very common:

• Jeg kommer i morgen = I’m coming tomorrow
• Hvis det regner, bliver vi hjemme = If it rains, we’ll stay home

Because inside the hvis clause, Danish uses normal subordinate clause word order here:

• hvis jeg sender billederne i dag
• if I send the pictures today

The subject jeg comes before the verb sender.

A useful thing to notice is that the sentence begins with the main clause:

• Min forsikring dækker skaden på cyklen

and then adds the condition:

• hvis jeg sender billederne i dag

If you put the hvis clause first, the main clause word order changes:

• Hvis jeg sender billederne i dag, dækker min forsikring skaden på cyklen.

Notice that dækker comes before min forsikring in the main clause after the initial subordinate clause.

Billederne means the pictures or the photos.

It comes from:

• et billede = a picture / a photo
• billeder = pictures
• billederne = the pictures

So this is:

• singular indefinite: et billede
• plural indefinite: billeder
• plural definite: billederne

In context, these are probably photos of the damage sent to the insurance company.

In standard Danish, a comma is commonly used before a subordinate clause introduced by a word like hvis.

So:

• Min forsikring dækker skaden på cyklen, hvis jeg sender billederne i dag.

This comma helps separate the main clause from the conditional clause.

Comma rules in Danish can be a bit different from English, but this kind of comma is very normal in written Danish.

Yes. That is exactly the conditional meaning here.

The structure is:

• Main clause: Min forsikring dækker skaden på cyklen
• Condition: hvis jeg sender billederne i dag

So the meaning is:

• My insurance covers the damage to the bike if I send the pictures today

In other words, sending the pictures today is presented as the condition for the insurance coverage in this situation.

A very useful way is:

• Min forsikring = my insurance
• dækker = covers
• skaden = the damage
• på cyklen = to/on the bicycle
• hvis = if
• jeg sender = I send
• billederne = the pictures
• i dag = today

So the whole sentence is built very logically:

• Min forsikring
• dækker skaden på cyklen
• hvis jeg sender billederne i dag

This kind of chunking makes Danish word order much easier to follow.