Undersupported, not unwelcome.
Use Togekiss to swarm the field with energies and swing with your fairies for big damage. Clefable can do up to 190 damage with 1 energy, and Tapu Fini can help disrupt the opponent. Florges serves as a way to recycle items in combination with Rose Tower and PokéStop. You can even do some shenanigans with Devolution Spray to reuse Togekiss's ability or go from Clefable to Clefairy to copy an attack when your opponent least expects you to. Aromatisse can freely distribute energies to help with retreating or recharging an attacker.
You may notice the lack of Float Stone/U-turn Board. The latter was in here originally, and it was very difficult to part with. But Fairy just has so little going for it that its win condition is to play faster than the opponent can and stay in the game for longer. This was not an easy choice, but it was one that I had to make.