By the way, I've been a dental assistant for 10 years so I do have some knowledge on dental procedures but of course its always good to check with your ob before you have any type of procedure done.
I suggest you talk to both your dentist & doctor. Most likely, everything is fine, but hearing their professional answers will give you better peace of mind than those of us on the thread ever will. Best wishes to you on a healthy pregnancy!
Its usually ok to get dental work done while pregnant. Next time though, if you remember, ask them to use anesthesia that doesn't have any epinephrine in it. Epinephrine can cause your heart rate to increase. And of course nitrous oxide (laughing gas) is definitely off limits.
I'm sure the baby will be just fine! Just let your doctor know. Obviously being pregnant we have to be extra careful, but we don't have to live in a bubble either. Stay positive!