Urg. I understand the struggle of lots of doctor appointments. My first son has a speech delay- since his 1/2 bother has hearing loss we were concerned about it but it was ruled out. He still gets tested at least once a year to be sure.
With my second son he was born very prematurely and he had 3-4 failed (hearing, don't get me started with vision tests as well) tests and failed even after his due date passed and we had to do one of those super long, annoying appointments with a crabby baby two hours away from home. *sigh*. Hang in there mama. It's better to be checking for things things now though. Hopefully the sedated test will be the last one she does for awhile, or for ever.