Nervous About Anesthesia for Breast Augmentation?

I'm really nervous about my upcoming breast augmentation. My PS will only use general and not local anesthesia like I was hoping. I have little kids at home and although the risk maybe be slight, I don't want to be that unlucky person where there was a complication. I have thought about this for a few years and the only thing holding me back was fear of not waking up. My questions is this If I have been under general before without complication (wisdom teeth and d&c) will I be ok this time?!