I'm put off by certain foods for the same reason. Even though I have tried most everything. Not Brains... nor Kidneys... and certainly not eyeballs.
I have tried, but it bothered me, eating Horse meat. And I didn't really like it although it was not really horrible.
I am not fond of Rabbit... little 'slimy' to me... same with squirrel. Although I did have a rabbit stew in Ireland that was quite good.
Many, MANY, years ago... and before some of these animals were endangered, there was a 'club', (can't remember who), that had 3 or 4 exotic meals per year... mostly game from Africa and Australia. I can remember trying Tiger, (makes me feel very guilty today)... it was not good. Giraffe, Ostrich (which actually WAS pretty good), Gator (not a fan), various snakes ( didn't like any of them)... and many more... I'm only listing those I can distinctly remember tasting.
Not sure this would be called 'exotic'.... but the one 'odd' meat I had that I thought sure I would HATE... but did not, was Turtle. Frog Legs I actually like a lot. - JamesJM