I suggest you keep sacrificing until you feel "spiritually invincible". You might find that your luck seems to have improved afterwards. Also, your god will be more receptive to your prayers. Divine favor is a finite resource - gods like sacrifices and their willingness to help will increase with regular sacrifices.
Regarding the hunger concerns you talked about on your previous thread, I suggest you eat monsters that do not negatively affect your health (even if they do taste awful or do not sit well in your stomach) and avoid being Burdened, Strained or Strained! as much as possible (it increases your hunger rate as you are physically exerting yourself). If it's the rations weighing you down, you can keep them in little caches along the dungeon as you descend. If you leave something on the stairs before you descend nobody will be able to touch it until you return.
Playing since gamma 10, when necklaces looked like &s. Lithium man. Brass + Lithium. OCG. Illiterate barb. One race and one class to go.