my doctor can’t get me in for my first unltrasound until 11 weeks?

so i found out i was pregnant, and went to make an appointment but my doctor isn’t available until August 26th to do blood work and an ultrasound, i feel like this is a little too late, i’ll be over 11 weeks by then, i’m almost 7 weeks right now (6w6d), is this too late and should i find another doctor? when did you have your first appointment? i’ve heard a lot of people go in around 7-8 weeks.

this worries me because i know most miscarriages happen within the 1st trimester