Dez moved next to Rezzik and cast Heal on him, that's how. That's what it says in my IC post. She's got Greater Blink up, so she can move under the floor and pop up next to Rezzik. She has Flyby Attack, so she can move, use a standard action (such as cast Heal), and continue moving. The travel devotion she activated earlier allows her to move as a swift action, so she moved as a swift, used a standard action, finished her movement, and then moved some more with her move action.
I'm starting to think it might be better if I just stop playing this. If it's so confusing, then it's really not helping you prepare for the big con game, and it's not particularly fun on this end.