:Grunch:
I think your 55 is pretty good here. This could be Kxhh, 78 or K8 a lot of the time. Could also be 77 or 88 but I think against this players range your equity is decent.
Now, the pot is 380. obv calling her 200 commits us, if we do reraise and she calls, you almost have to call the river even if a heart comes (or puke).
I think I re-raise to 450 and call shove. If a heart comes on the river, I might not be happy but villain might not be either and you can ship any river if she just calls your turn before she has a chance to act.
Ranges built with the thought that villain would R/R with KhQh, AhKh and probably fold K7o and K8o. Can probably include some number of those in her range.
Code:
Board: 5h 8h 7s Kc
Dead:
equity win tie pots won pots tied
Hand 0: 63.745% 63.74% 00.00% 589 0.00 { 5c5s }
Hand 1: 36.255% 36.26% 00.00% 335 0.00 { 88-77, KhJh, KhTh, K8s-K7s, 87s, 87o }