I still need to re-read a lot of the background first.

Red Lace's phasing power can only allow her to vanish and reappear in a nearby location at the moment. As a support power, she will later be able to share this power with nearby allies and 'phase' them to a safer area. When it gets stronger, she may be able to teleport to an entirely new location if that's fine with you; if that's OP, maybe it causes her to pass out.

Also, to make her more of a support character, maybe she can one day extend the effects of Red Fury and buff her allies with similar powers, making nearby friends much faster.