The bioweapon and snow bunny engage in a prolonged struggle, with the bioweapon struggling to overcome the snow bunny's immunity and the snow bunny fighting to eradicate the bioweapon. In the end, both entities emerge weakened, but the snow bunny might survive, while the bioweapon's potency is diminished.
Note: If you were referring to a specific street brand of "RSO" (often sold in syringes) that uses these stickers, the actual chemical composition can vary wildly. "Bioweapon" in that context is almost always their strongest, darkest batch, while "Snow Bunny" is often a lighter, more golden oil.
The bioweapon, designed for maximum virulence and contagiousness, infects the snow bunny, causing severe illness or death. The snow bunny, having never encountered such a disease, would struggle to fight off the infection, leading to a tragic outcome.