Your body was telling you something and you were right to honor it. Don't feel guilty for being unable to stay. There would come a time when you would hear not only the girl's testimony but that of medical professionals and perhaps even have to view medical evidence.

Had you lost it in the courtroom during a trial there could have been severe consequences including your replacement by an alternate or even, God forbid, a mistrial. To be on a jury, you need to be as impartial as possible to serve the function of the jury. You're not serving the little girl nor the judge nor the defendant. You're serving that blindfolded woman with the scales. It's noble that you want to do the right thing by staying on, but I think you did the truly right thing and recused yourself. Even if your objective mind doesn't believe it was the right thing, your subconscious mind did and let you know via physical symptoms.

It takes a strong man to step back and know what he can and cannot do. You did the right thing in the end.