I wouldn't be concerned. My insurance covers one to see baby on first apt. They usually schedule at 6 weeks +.
Why can't you just change the dates to week 11? I had an ultrasound when I taught I was 11 weeks but was 10 weeks and 1 day base on the ultrasound. It was an ultrasound just to find out the due date. If you're just doing the date ultrasound you can book for it sooner.
But if this is the type of ultrasound that you have to pay for and is mainly for checking to see if baby has some abnormalities etc then they'll only do this at 12 weeks.
I had one at 9+1 and I honestly thought nothing would be in there lol So its reassuring but I dont think necessary. I have a second one at 12+4 on March 20 and now Im looking forward to seeing the lil one move. We moms like to worry but moms before never had u/s so we're lucky :) Just enjoy the first one!!
I don't have my first appointment till I'm 9 weeks. I'm not sure if he would give me one before or ask me to wait till 12 weeks. I may ask if I can have before. How I would tell people my 4 year old daughter would hold the ultrasound pic and the easter bunny would be holding the due date. Around easter for a week you can see the easter bunny and by time easter is here I would be 13 weeks 3 days.