I have a big vomit phobia too - so I understand :-/
I had a stomach virus about 3 weeks ago, horrible diarrhea and I threw up (one time) ... but still, I was a mess.
If it's been 11 hours I would say you're in the clear, just take it very slow. I started sipping water and ate a banana, waited an hour or so and if I was still hungry I had some toast. The next day I took it very easy on the food and by the next evening I was back to normal.