رغم أن القنصلية تستلم الاستمارة، ينتظر مقدم الطلب.

رغم means despite / in spite of.
When you add أن and then a full clause, رغم أن means although / even though.

So the pattern is:

• رغم + noun = despite + noun
• رغم أن + clause = although + clause

For example:

• رغم المطر = despite the rain
• رغم أن المطر يهطل = although it is raining

A longer, very common equivalent is على الرغم من أن.

Not here.

In unvowelled Arabic script, أن can represent two different particles:

• أنْ = the particle that can make a following imperfect verb subjunctive
• أنَّ = that, introducing a clause

In this sentence, it is أنَّ pronounced anna, not an.

So the structure is:

• رغم أنَّ القنصليةَ تستلمُ الاستمارةَ

This means although the consulate receives the form.

A useful grammar point:

• أنَّ makes its noun accusative, so القنصليةَ would take fatḥa in fully vocalized text.
• The verb تستلمُ stays indicative; it is not being made subjunctive by أنَّ.

Because القنصلية is a grammatically feminine singular noun.

In Arabic, verbs agree with the grammatical gender of the subject. Since القنصلية is feminine, the verb is:

• تستلم = she/it receives

If the subject were a masculine noun, you would expect:

• يستلم

This is grammatical gender, not biological gender. Institutions and abstract nouns can still be feminine in Arabic.

Both are in the imperfect form.

In Modern Standard Arabic, the imperfect can express several things depending on context, including:

• present
• habitual action
• general truth
• sometimes near future

So here, تستلم and ينتظر can be understood as present or habitual:

• the consulate receives / is receiving
• the applicant waits / is waiting

Arabic does not always force the same sharp distinction that English makes between receives and is receiving.

Because Arabic often prefers verb–subject order in neutral statements.

So:

• ينتظر مقدم الطلب = a normal, neutral way to say the applicant waits

But مقدم الطلب ينتظر is also grammatical. That version is more subject-first, which can make the subject feel more topical or slightly more emphasized.

So both are possible:

• ينتظر مقدم الطلب
• مقدم الطلب ينتظر

The first one is just more typically Arabic in neutral written style.

This is a very good question, because without case endings, the written form can look ambiguous.

In fully vocalized Arabic:

• ينتظرُ مقدِّمُ الطلبِ = the applicant waits
  
  • مقدِّمُ is nominative, so it is the subject

But:

• ينتظرُ مقدِّمَ الطلبِ = he waits for the applicant
  
  • مقدِّمَ is accusative, so it is the object

So in normal unvowelled writing, context and meaning usually tell you which one is intended. Since the learner already knows the meaning here, مقدم الطلب is being read as the subject.

مقدم الطلب is an iḍāfa construction.

It literally means:

• مقدم = submitter / presenter
• الطلب = the request / application

Together:

• مقدم الطلب = the submitter of the application
• in natural English: the applicant

Why no الـ on مقدم?

Because in an iḍāfa:

• the first noun normally does not take الـ
• the second noun determines whether the whole phrase is definite

Since الطلب is definite, the whole phrase مقدم الطلب is definite too, even though مقدم itself has no الـ.

Also, the second noun in an iḍāfa is in the genitive, so in full case marking it would be:

• مقدِّمُ الطلبِ

الاستمارة is the direct object of تستلم.

So:

• تستلم القنصلية الاستمارة = the consulate receives the form

In fully vocalized Arabic, the direct object would be accusative:

• الاستمارةَ

So the clause would be:

• أنَّ القنصليةَ تستلمُ الاستمارةَ

This is one of the most common sentence patterns in Arabic:

• subject
• verb
• direct object

or, depending on structure, a verb followed by its object inside the clause.

Because رغم أن already gives the sentence its concessive meaning: although / even though.

Once Arabic uses رغم أن, it can simply follow with the main clause:

• رغم أن ... ، ينتظر ...

That is already complete and natural.

If a writer wants extra emphasis, Arabic may add words such as:

• فإن
• مع ذلك

But they are not required here.

A fully vocalized version would be:

رغمَ أنَّ القنصليةَ تستلمُ الاستمارةَ، ينتظرُ مقدِّمُ الطلبِ.

A careful pronunciation/transliteration is:

raġma ʾanna al-qunṣuliyyata tastalimu al-istimārata, yantaẓiru muqaddimu al-ṭalabi

A few notes:

• أن here is read as أنَّ
• القنصليةَ is accusative because of أنَّ
• الاستمارةَ is accusative as the direct object
• مقدِّمُ is nominative as the subject of ينتظر
• الطلبِ is genitive because it is the second noun in an iḍāfa

In normal printed Arabic, these endings are usually not written, so learners rely on grammar and context to interpret them.