Q: Is it permissible for a male driving instructor to give driving lessons to a female client? Likewise, is it permissible for a female to pass out for a drivers license at the hands of a male officer?
A: In both of the above circumstances the Muslim female comes in contact with a strange (non-Mehram) male, which is haraam. Rasoolullah (sallallahu alayhi wasallam) prohibited the integration or interaction of male and female. Driving is not a necessity for females, hence it will not warrant relaxation of the laws of hijaab. Furthermore, such close contact and seclusion between male and female is a certain stepping-stone towards zinaa.