A male doctor is going to supervise her birth in the hospital; should she have a caesarean so that she can have a female doctor?

No File Exists
Check below answers in case you are looking for other related questions:
Ruling on Caesarean births
Guidelines on the issue of: Looking for the purposes of medical treatment.

No File Exists
Related Answers:
Permanent implanting of artificial teeth
Is it permissible to use an enema as medical treatment?
Ruling on giving infertile women fertility drugs so that they can get pregnant
Ruling on Caesarean births
Guidelines on the issue of: Looking for the purposes of medical treatment.

Recommended answers for you:
How many hours is it permissible for a person to sleep?
Rulings on menstruation
Fasting is not accepted if one doesn’t pray
What is the ruling on a man having intercourse with his pregnant wife?
Ways of offering Witr prayer that are narrated in the reports