GA, the docs don't typically have shots with the mercury in them but you should double-check next time you go in because they are still around in some places. Say your children are only allowed Thermisol-Free vaccinations.
Just wanted to add that almost all childhood immunizations no longer contain thermisol (mercury). The flu vaccine is one of the few that still contains the thermisol. There is a preservative free flu vaccine, but it is hard to find and I did not receive that one!
I also had no idea that immunizations CONTAINED mercury!??!?!
I had flu shots with two of my pregnancies and both of them are just fine...
The likelihood of your baby becoming autistic because of that flu shot is probably slim. There is apparently no link between autism and mercury, but I don't personally believe that. I also ask for my childrens' vaccines to be mercury-free (something to think about after your daughter is born).
Autism is not diagnosed until about 15 months or later. Just watch your baby carefully for signs when she gets closer to her 2nd birthday.