Min datter prøver at score, selv om modstanderen står stærkt.

Because a possessive like min already makes the noun definite. In Danish, you normally do not add the definite ending as well.

• min datter = my daughter
• datteren = the daughter

So min datteren would be wrong in standard Danish.

Danish possessives agree with the gender and number of the noun being possessed.

• min = common gender singular
• mit = neuter singular
• mine = plural

Since datter is a common gender noun, the correct form is min datter.

For comparison:

• min datter = my daughter
• mit barn = my child
• mine børn = my children

Because prøve is commonly followed by at + infinitive when it means try to do something.

So:

• prøver at score = tries to score

This is very similar to English try to score. In Danish, leaving out at here would sound wrong in standard usage.

Yes. Score is a common loanword in Danish, especially in sports.

In this sentence, it clearly means to score in a game or match.

Be aware that in other contexts, score can also be informal slang meaning something like pick someone up or get with someone romantically/sexually. But with modstanderen in the sentence, the sports meaning is the natural one.

Selv om means although / even though. It introduces a subordinate clause that gives a contrast.

• selv om modstanderen står stærkt = although the opponent is in a strong position

This is different from men, which means but and links two main clauses.

Compare:

• Min datter prøver at score, selv om modstanderen står stærkt.
• Min datter prøver at score, men modstanderen står stærkt.

Both are possible, but selv om emphasizes concession: despite that fact.

Modstanderen is the definite form: the opponent.

• en modstander = an opponent
• modstanderen = the opponent

Danish often uses the definite form when the reference is specific or already understood from context. In a match, there is usually one relevant opponent, so modstanderen sounds natural.

Also notice how Danish usually marks definiteness with an ending:

• modstander → modstanderen

Literally, står stærkt is something like stands strong. But idiomatically it usually means:

• is in a strong position
• looks strong
• has the advantage
• is hard to beat

So this is not mainly about physically standing. It is about the opponent’s competitive position.

You will often see stå stærkt in sports, politics, business, and arguments.

Because selv om introduces a subordinate clause.

In Danish, main clauses and subordinate clauses behave differently. Danish main clauses often follow the V2 pattern, but subordinate clauses do not.

Here, the subordinate clause has the normal order:

• modstanderen = subject
• står = finite verb
• stærkt = adverb/complement

A useful thing to notice is what happens with ikke:

• main clause: Modstanderen står ikke stærkt.
• subordinate clause: selv om modstanderen ikke står stærkt

That shows the special subordinate-clause word order more clearly.

Because selv om modstanderen står stærkt is a subordinate clause, and many Danish writers put a comma before such clauses.

However, this is one of those areas where Danish punctuation can vary depending on comma style. You may see both:

• Min datter prøver at score, selv om modstanderen står stærkt.
• Min datter prøver at score selv om modstanderen står stærkt.

So the comma here is normal, but in modern Danish you may also see the sentence written without it.

It can mean either, depending on context.

Danish present tense often covers both:

• English simple present: tries
• English present progressive: is trying

So Min datter prøver at score could mean:

• My daughter tries to score
  or
• My daughter is trying to score

In a sports situation, English would often prefer is trying to score, but Danish just uses the present tense prøver.

Yes. Here stærkt is the adverbial form, used in the expression stå stærkt.

Compare the difference:

• en stærk modstander = a strong opponent
• modstanderen står stærkt = the opponent is in a strong position

So stærk is the adjective form, while stærkt is used adverbially in this fixed expression.