TB has a tendency to focus on burst damage, not prolonged damage, so I'd say he can have the hardest time killing her. That said, he does have two rather good tools in his belt, both in his ICE form: Deep Freeze, and Ice Nova.
The Deep Freeze can count a heal while it is being cast, and/or prevent one from being cast. Most of the time, deep freezing her is the same as a silence for the duration listed (5,6,7 seconds) in addition to possible damage. Hit it when she is looking like a heal.
Ice Nova, on the other hand, will stop her priests from healing for the duration. Fire Nova will also work, but insta-killing them, but doesn't have the nice stun on sedna at the same time. This can actually deny her a lot of her healing for a decent period of time.
Also, remember that you don't have to kill her to win. Unless it's Slaughter Mode... then you are perhaps, F'ed.