The first trimester screening is done been 10-12 weeks so don't worry. It's nice if you can get in sooner to see the heartbeat but nothing to worry about. A lot of people don't see their OB until 10-11 weeks. I always try to get in earlier though, ask your office if they can inform you of any cancellations and maybe you can get an earlier appt.
Go see your GP in the meantime and ask for routine bloodwork and HCG level. Some specialists can be hard to get into but still keep your appointment.
I had the same problem I found out I was pregnant unexpectedly and was really worried. I went with the dr that could see me sooner and found out I was actually 8 weeks pregnant. It helped alot to know that everything was ok with my baby.