I think it's just important to remember that every horse is an individual, and in many cases, stereotypes do not apply.
Indie, my TB, raced for seven years of her ten year life and she is as quiet as can be. Just today, she had a pig running underneath her and she just stood there. She also behaved like a champ for getting her leg wrapped up.
I'd just take everything in stride and just treat her like any other horse. Good luck!