Wir stehen an, und die Mitarbeiterin lässt uns durch.

Because the full verb is anstehen, which is a separable verb.

In a main clause, the conjugated part goes to the usual verb position, and the prefix moves to the end:

• anstehen = to queue / to line up / to be in line
• Wir stehen an. = We are queueing.

You would see it together in forms like:

• Wir müssen anstehen.
• Ich will nicht anstehen.

There, anstehen stays together because it is in the infinitive.

No. Even though stehen means to stand and an can have meanings like at, on, or up, the separable verb anstehen has its own meaning.

Here, anstehen means:

• to queue
• to stand in line
• to wait in line

So you should learn anstehen as a whole vocabulary item, not by translating each part literally.

German often uses anstehen when the idea is specifically waiting in a line/queue.

Compare:

• warten = to wait in general
• anstehen = to wait in line / queue up

So:

• Wir warten. = We are waiting.
• Wir stehen an. = We are standing in line.

The second one is more specific.

Die Mitarbeiterin means the female employee/member of staff. It uses the definite article die, which suggests the person is specific or known from the situation.

For example, if you are at a counter, entrance, or checkpoint, the speaker may mean the staff member who is dealing with them.

Compare:

• eine Mitarbeiterin = a female employee
• die Mitarbeiterin = the female employee / the staff member

So die points to a particular person, not just any employee.

The ending -in marks a female person.

• der Mitarbeiter = the male employee / employee
• die Mitarbeiterin = the female employee

This is very common in German:

• der Lehrer → die Lehrerin
• der Verkäufer → die Verkäuferin

So Mitarbeiterin specifically tells you the staff member is female.

Because uns is the object form of wir.

• wir = we
• uns = us

In die Mitarbeiterin lässt uns durch, the staff member is doing something to us, so German uses the object form uns.

Compare:

• Wir stehen an. = We are in line.
  Here wir is the subject.
• Die Mitarbeiterin lässt uns durch. = The employee lets us through.
  Here uns is the object.

This comes from the separable verb durchlassen, which means to let through or to allow to pass.

In a main clause, it splits:

• durchlassen → lässt ... durch

So:

• Die Mitarbeiterin lässt uns durch.

breaks down as:

• die Mitarbeiterin = the subject
• lässt = the conjugated verb part
• uns = us
• durch = the separable prefix at the end

So the whole thing means the employee lets us through.

Because it is the 3rd person singular form of lassen.

The verb changes its stem vowel in the present tense:

• ich lasse
• du lässt
• er/sie/es lässt
• wir lassen
• ihr lasst
• sie/Sie lassen

So die Mitarbeiterin lässt means the employee lets.

This vowel change is something you just have to learn with the verb lassen.

Because both parts are main clauses, and German main clauses normally follow the verb-second rule.

Clause 1:

• Wir stehen an.
• Subject: Wir
• Verb: stehen
• Prefix at the end: an

Clause 2:

• Die Mitarbeiterin lässt uns durch.
• Subject: Die Mitarbeiterin
• Verb: lässt
• Object: uns
• Prefix at the end: durch

The conjunction und simply joins the two main clauses. It does not push the verb to the end.

Here the comma is possible because two full clauses are being linked:

• Wir stehen an
• die Mitarbeiterin lässt uns durch

In German, with und, the comma is often optional when connecting main clauses. Many people would also write:

• Wir stehen an und die Mitarbeiterin lässt uns durch.

So the comma is not the most important part here; it mainly helps mark a pause or make the structure clearer.