But my experience with equine and animal science degrees is that, if you want to land an actual, real, relevant job with them, and make more than minimum wage....good luck. Many potential employers don't take them seriously. They frequently don't teach you anything you can't learn out there in the "school of hard knocks," anyway, and the curriculum is not always particularly rigorous or good.
If you want to get a job with horses, my advice would be
A) apprentice with a trainer and really focus on that end.
B) get a business degree, but take animal science / equine classes alongside it.
C) get a science degree of some sort and go into research or onto grad / vet school.