Wa `alaykum as-salamu wa rahmatullahi wa barakatuh.

There are two ways to understand your question. If the women was just a processor of the paper work like a lawyer who will file it in court or a clerk in an Islamic court and she documented the marriage in its conditions as the acceptance of marriage from both parties, the presence of the girl’s Walii, the Mahr and the two witnesses etc.. then yes she can do that.

But if the question meant either the girl marrying herself or acting as the Imam conducting the marriage, it should be checked under what is acceptable in that country. You do not want women to conduct marriage in a society that it can revoke later because of the cultural practices as part of understanding religion too. Most of the schools of thought do not permit women to initiate a Nikah for herself or for another person.

The school of Abu Hanifah allows a woman to marry herself without Wali if she is an adult and proper candidate came to her, she can assign whoever she wishes to be her Wali.

Based on that view, I can say that if it is accepted in a place to have a female acting as the one who performs Nikah ceremony, it should be fine. The reason I say that is because marriage needed no specific person to process nikah ceremony in early time of Islam. It was a trusted word of mouth between groom, father of bride and 2 witnesses. Later in time it was assigned to the Imam to do it as one who knows the details of requirements.

So yes with these conditions:

1- the female must be Sharia graduate who knows all details of marriage conditions and requirements and apply them.

2- Both families must be in favor of it.

3- No problem in country of residence to file such marriage by a female.

Almighty Allah knows best.