I wouldn’t start and not mention it at all to say that you “hope she remembers” as that could suggest that you think she might be at fault or that she has a sieve for a brain. “I’ve been waiting expectingly for a result on my job interview that we had six weeks ago.”, is something you could write. By the way, I don’t know who much time has passed after the six weeks, but if it is only some days I would suggest to give them a few more days to send them a message. When mailing about job applications I think it is adviced to be as formal as possible. No “Hi’s” and “Bye’s”