Izzy is a great start for the new core set, both in terms of flavor and in terms of the characters. She is simultaneously something new and somewhat old, since we've all been searching for her every time we played Jenny Barnes. Her stat line is perhaps a tad underwhelming, but that's not really surprising given that she is a survivor and historically, they have/will get lots of ways to buff their skills, especially the defensive ones like Will and Agility.
I think Izzy's strongest point is that she has access to Mystic 2. While it isn't the best access, it provides at least enough to give her ways to use her Will so that you can focus on buffing that over trying to get her Fight and Agility up. It makes her signature asset all but useless, and I have to imagine that most of the time, it is going to end up either committed to a test, or used to deal with swarms of weak enemies that pop up.
The most interesting part of her design by far though is her ability. The ability to recur a clutch skill from the discard pile cannot be overstated, and makes it almost possible to try to run some cards that could get her gun into a usable position. Overpower becomes +2 and draw to on a successful attack, as do Guts and Manual Dexterity. That says nothing of the other cards that you might want to have repeated access to. If you're not limiting to the new card pool, Take Heart becomes stupid powerful, as do any of your leveled commits like Last Chance (3) or Enraptured (2) (to put charges back on the spells that you may want to investigate with). The only disappointing thing about this ability is that it is limited to once per round. It's powerful enough that I understand this choice, but with the current card options for healing horror, I do think you could let the player take a bigger risk. That said, I still think 1 per round is plenty. Just means you need to choose carefully.