I'm already 13 weeks pregnant and scheduled for a prenatal ultrasound …

I'm already 13 weeks pregnant and scheduled for a prenatal ultrasound on 9.10.20. I booked it, but is it too early or should I go to a private clinic? I went to the ultrasound on September 21st because I was worried (my belly hurt badly and there was a risk of miscarriage). Should I wait until 9 or go now? I'm having my first pregnancy and I'm nervous.