Liðsfélagi hennar sagði að markið var fallegt.

Yes. Liðsfélagi means teammate.

It is a compound:

• lið = team
• félagi = companion, member, associate

So liðsfélagi is literally something like team-companion.

The -i ending is normal here because félagi is a masculine noun of a common declension pattern. In this sentence, liðsfélagi is in the nominative singular because it is the subject of the sentence.

So:

• Liðsfélagi hennar = her teammate

That is a very common Icelandic pattern.

In English, we say:

• her teammate

But in Icelandic, possessive words like hennar often come after the noun:

• liðsfélagi hennar = her teammate

This is completely normal Icelandic word order.

So:

• maðurinn hennar = her husband / her man
• bíllinn hennar = her car
• liðsfélagi hennar = her teammate

English learners often want to put the possessive first, but Icelandic usually does not do that with forms like hennar.

Hennar means her.

More specifically, it is the possessive/genitive form connected with hún = she.

So:

• hún = she
• hana = her
• hennar = her / hers

In this sentence, hennar shows possession:

• liðsfélagi hennar = her teammate

Sagði is the past tense of segja, which means to say.

So:

• segja = to say
• segir = says
• sagði = said

In the sentence:

• Liðsfélagi hennar sagði ...
• Her teammate said ...

Here að means that.

It introduces a subordinate clause, just like English:

• She said that...
• Hún sagði að...

So in:

• Liðsfélagi hennar sagði að markið var fallegt the part after að is the content of what was said:
• that the goal was beautiful

Important: this að is not the same as the infinitive marker að meaning to, as in að fara = to go. Icelandic uses the same word for both functions, so you have to tell from context.

Because markið means the goal, while mark means a goal.

Icelandic usually adds the definite article to the end of the noun instead of using a separate word like English the.

So:

• mark = a goal
• markið = the goal

This ending -ið is the definite article for a neuter singular noun here.

Because fallegt must agree with markið.

The noun markið is:

• singular
• neuter
• nominative

So the adjective also has to be:

• singular
• neuter
• nominative

That gives:

• fallegur = beautiful (masculine)
• falleg = beautiful (feminine)
• fallegt = beautiful (neuter)

Since markið is neuter, Icelandic uses:

• markið var fallegt = the goal was beautiful

You can tell from both the noun form and the adjective agreement.

The base noun is mark, which is a neuter noun. When it becomes definite singular, it appears here as markið.

Then the adjective confirms it:

• fallegt is the neuter form

So the sentence gives you two clues:

• markið
• fallegt

Both point to a neuter singular noun.

Because this is the normal word order for a simple subordinate clause.

The clause after að is:

• markið var fallegt

That is straightforward subject–verb–complement order:

• markið = subject
• var = was
• fallegt = beautiful

Icelandic word order can change in some contexts, but here this is the most neutral and natural order.

This is a very good question, because both forms can appear after sagði að in Icelandic, but they do not mean exactly the same thing.

Here:

• var = indicative past
• væri = subjunctive

With var, the sentence presents the statement more directly:

• Her teammate said that the goal was beautiful

With væri, the speaker may sound a bit more distanced, reported, or less fully committed to the content as a fact.

So:

• sagði að markið var fallegt = neutral reported statement
• sagði að markið væri fallegt = reported statement with subjunctive nuance

For learners, the important point is that var is perfectly understandable and natural here.

In this sentence, yes, that is the natural meaning.

Mark can have a few related meanings depending on context, but in a sentence like this, especially with liðsfélagi (teammate), it clearly means a goal in sports.

So:

• markið var fallegt = the goal was beautiful more naturally in English:
• the goal was a beautiful one
• it was a beautiful goal

More or less, yes:

• Liðsfélagi = teammate
• hennar = her
• sagði = said
• að = that
• markið = the goal
• var = was
• fallegt = beautiful

So a very literal translation is:

• Her teammate said that the goal was beautiful.

That said, natural English might also say:

• Her teammate said the goal was beautiful.
• Her teammate said it was a beautiful goal.

Yes — it shows several very common Icelandic patterns all at once:

1. Possessive after the noun

   • liðsfélagi hennar = her teammate

2. Definite article attached to the noun

   • markið = the goal

3. Adjective agreement

   • fallegt matches neuter singular markið

4. Subordinate clause with að

   • sagði að... = said that...

So this is a very useful model sentence for Icelandic grammar.