Even if we give it (Cha-based) deflection and (Wis-based) insight, that's only +11 to AC together. Looks like it's going to need a large luck bonus.
I'm thinking we could give her a divine bonus too, since she's an avatar of hawkishness. Either that, or just let her have an additional +6 to her normal deflection and insight bonuses. A Paragon Eagle has +12 insight and +12 deflection without needing a Wisdom and Charisma of 34-35.
Thus:
Divine Bonus Version
Human Form: AC 56 (+10 Dex, +13 luck, +12 divine, +4 insight, +7 deflection), touch 56, flat-footed 46
Dire Hawk/Hybrid form: AC 59 (+13 Dex, +12 divine, +4 insight, +7 deflection), touch 59, flat-footed 46
Hawk Form: AC 64 (+2 size, +16 Dex, +12 divine, +4 insight, +7 deflection), touch 59, flat-footed 48
Enhanced Deflection Insight Version
Human Form: AC 56 (+10 Dex, +13 luck, +10 insight, +13 deflection), touch 56, flat-footed 46
Dire Hawk/Hybrid form: AC 59 (+13 Dex, +13 luck, +10 insight, +13 deflection), touch 59, flat-footed 46
Hawk Form: AC 64 (+2 size, +16 Dex, +13 luck, +10 insight, +13 deflection), touch 59, flat-footed 48
I suppose we should consider giving her a natural armour and/or armour bonus, despite the Epic Cat Lord apparently not wearing armour.
The Legendary Eagle has +4 NA, so we could give that animal form +4 NA and the human form a mithral shirt and reduce the other bonuses by 4.