Alice has magic, or Psychic Powers; there's no reason she shouldn't be able to still use them.
The area in which Alice is badass has nothing to do with her disability. For example, being in a wheelchair doesn't necessarily have anything to do with being the team Smart Guy who uses genius technology to defeat The Big Bad.
Inverted: Alice is not disabled, but is unable to fight.
Alice had faked her disability.
Alice is a pacifist and can barely hurt a fly.
Alice had faked her previous disability, but some time later, she really winds up in the wheelchair. And she can still kick ass.