I purchased a horse a couple of days ago for his bravery. He is a 4yo gelding marked in my main barn as "Vy Chimera ASS-E" and has a 55% bravery training. Even though I have purchased him and it has been a day or two since the purchase, he does not appear of my list of horses I can take to explore. I scrolled down and everything but he doesn't appear there in the list. I checked he had a rider and was fed. But nothing seems to be wrong other than he just isn't appearing in my explore list.

Is he set to not explore if so that is your issue <3

No I don't think so. But I can check. Thanks!