Being allergic to bee venom is different to being allergic to bee-products. Propolis is made from bee's saliva and pollen, resin and plant extracts. A bee's sting contains the toxin melittin and is meant to discourage potential threats from coming close to the hive and queen bee. It is meant to induce an extremely painful and uncomfortable reaction. A bee uses it's saliva and mixes it with tree resin and pollen to make glue or propolis to patch up it's hive. Propolis exists to keep the hive safe from microbial contamination.
Spray with a toner on clean skin, then massage a few drops of an oil serum, followed by a cream to seal in the oils. Just using an oil serum on it's own will not replace the moisture in the skin. Moisture or water is contained in a cream, not a balm or oil.
A balm does not contain water, so has no preservatives or alcohol which may cause stinging on broken, raw and inflamed skin. Whan the skin is in that condition, it is generally more sensitive and reactive. A balm is also better suited for skin that needs intensive treatment with actives as it sits on the skin for longer and allows better penetration of actives. It also contain waxes such as beeswax or candelilla wax (plant version of beeswax) which will increase hydration of the skin by preventing moisture loss from the skin's surface. It acts as a natural barrier when the skin is broken and compromised. It may feel oiler on the face, so a serum or cream would be better for the face.