Can people with bee allergies eat honey? what about peanut allergies and peanut oil?

Bee allergies: Since honey is a by product of bees and pollen and not the venom there shouldn't bee (sorry pun) a problem. It is the venom in the bee sting that causes the reaction. However, peanut oil is derived from peanuts directly and thus can cause a reaction. Honey is ok peanut oil isn't if you are allergic to peanuts.

Yes: There is no bee venom in honey, so it can be safely eaten by people allergic to bees. There is not supposed to be any peanut protein in peanut oil, but there may be if it wasn't carefully manufactured. If you have had a life-threatening reaction to peanut, i wouldn't recommend betting your life on whether the peanut oil is pure.

Depends and depends: When we talk about honeybee allergy, usually we mean allergy to the venom. Eating honey therefore should be fine as long as there is no venom in it. I would avoid peanut oil altogether. If still wanting to try it, go with "highly refined peanut oil". It has the least amount of peanut allergen in it. Avoid cold-pressed oil.