Recently I bred my Mudsdale, Outlaw, because it was mid breeding season and she really wanted a foal. I got very lucky and the Mudbray turned out shiny, however Outlaw is having a little trouble recognizing her as her foal. Are there any ways I can help her realize that it really is her baby or should I simply hand raise the Mudbray?
Sadly, most Pokémon will actively reject shinies. It’s not to be mean, mind you. It’s a survival strategy.
The glittery skin/fur/hair/feathers/scales of a shiny will often attract predators, which will show attention to the rest of the brood/flock/pack/troop/pod, etc. Rejecting/ignoring/harassing the shiny will often remove it, preserving the rest of the group. It’s just a brutal fact of Pokémon life that is so ingrained even domestication cannot remove it.
Outlaw will probably never “recognize” her foal, so you will have to hand raise it. To give it proper socialization, you may need to get creative. Try contacting another equine trainer, preferably one that specializes in Ponyta, and see if your little girl can play with some colts or fillies. They don’t share the same color patterns, so they probably won’t recognize your Pokémon as a shiny. Since they share similar behaviors, the foal should be able to learn how to be a horse.
Regarding Outlaw, though: please don’t let this keep you from trying to breed her again. The fact that she did not actively attack the little one suggests she is a gentle Pokémon, and will probably be a great mother to a regularly-patterned foal.