I don't know if having a grandfather in the beef business has anything to do with it, but I've ALWAYS been grossed out by bloody beef.
When I was little (under 12), my father used to cringe when we'd go out and I'd order a filet - well done.
As I got older, I was able to tolerate a bit of pink - but NO red...ever!
And I'll ALWAYS order my burgers burned to a crisp, hehehe.