I personally look at the shape and style of the horse more than just their body weight to determine what they can easily carry. Shorter backs, broader chests, bigger barrels, thicker legs, bigger feet all make things easier for a horse to carry more weight. If I had 2 horses that weighed 1000 pounds but one was short and stocky with big bones and feet and the other was tall and narrow with chicken legs, I would put the heavier person on the shorter horse.
LOL, sorry for rambling. Anyway, long story short, yes the horse will have no problem carrying you. The horse that I ride most often is about 14.3 and I weigh about 145.