Can anyone advice?

Hi, I’m currently 5-6 weeks pregnant. I’m not very sure too because I forgot the last date of my previous period. I called up KKH as I have a fixed gynae but she’s fully packed until mid August, which by then I’ll already be almost 9 weeks. I think it’s too long for my first appointment. Should I go to other clinic first to see doctor? If yes, which clinic should I go to and how much? Or what should I do?