Horses question!

[Ulilohi Ehn]

So. Ulilohi is 7ft 4in (223cm) tall and weighs 320lbs (145kg). I know nothing about horses and I think quite a few people on the board do, so just asking: is it realistic that she could find a horse that can handle her size/weight?

If not, I guess I can just have her drive around in a cart :|