You can now analyze animals, getting a full mental map of their capabilities, temperaments, and health. You are now the ultimate veterinarian and animal trainer.
Either that, or you have the psychic power to make other people think about animals. Depending on what level of control you have over the thoughts, it ranges from boring to hilariously fucked up.
I now have the power to heal and strengthen horses... does anyone have a suggestion on how I could use that in a superhero setting?
Depends on the extent of the ability... if you can apply mythological traits, there are some really fun ones. Pegasus for flight, Unicorn for healing powers, dozens of water-horse beings, the most powerful of which being the Kelpie.
Kelpies can pull a plow so fast that it causes the earth and stone to go flying behind it while a person on the hitch will be dragged without their feet touching the ground (so speeds of at least 250+ kph), transform into a beautiful young man or woman (I don't know if Kelpies are limited to their native sex, or if any kelpie can take either form), and possessing the strength to rip an armored knight in half bare-handed. Also, they breathe water and swim like a dolphin.
The Welsh variant can fly and turn into mist, but doesn't have a human form or the physical strength. The Nordic variant is just unnecessarily horrifying (like most of their myths), possessing miasmic death-breath and a craving for human flesh, also they have no skin and are probably undead... I don't recommend the Nordic version...
Name her Llamrie, after King Arthur's mare (which was probably a Kelpie... at the very least, she could move underwater as fast as on land, and she and her rider could breathe underwater... actually, most of Arthur's knights had a horse with supernatural abilities).
What's really fun is if you can work with an entire band (this is the natural "pack structure" in the wild) of horses- usually 1 buck male, 2-4 adult females, and between 2 and 6 juveniles. It'd basically be having your own pack of werewolves... only Kelpies are stronger and faster than most portrayals of werewolves. Oh, right, and they turn into a small harem of unnaturally beautiful women.