Toronto, Ontario. (I understand I play an EU server.)
Get a stam trinket. But yeah, you can do the first wing, festergut's a bit iffy, rotface is np if you kite well(If you're kiting). Erm...Sorry for the terrible vocab.
Corroded Skeleton Key will give you 2,280 health to have fun with, and even an essence of gossamer is another 1180 health. I personally prefer stam stacking, and those two trinkets will push your health over 40k.
Black Heart will be easier to farm than Gossamer, and it's a better trinket by a long shot. Also don't discount the Glyph from Triumph badges. One of those + Skeleton key would be ideal. The two trinkets you're wearing are not that great for 95% of fights in the game currently.