if you want to keep Blizzard, give her Hail because Blizzard will never miss while it's hailing, and it's a nice boost with your ability.
think about teaching her water pulse if you have the TM and then Shadow ball if you have it.
so
Hail
Blizzard
Shadow Ball
Water Pulse
if you decide not to put blizzard on her, then give her Ice beam and Ice Shard instead. Even though it'll be weak, Ice Shard can make a nice finisher on something that's only got a few HP left.
[She'll learn Ice Shard by leveling up a few more times]