Why Does Adding Heat to Ice-Water Disfavor the Rate of Ice

Why does adding heat to ice-water disfavor the rate of ice formation?

A) Heat increases the vibration of the water molecules, which breaks the hydrogen bonds.
B) When heat is added, the water molecules are moving too fast to form hydrogen bonds, which gives it the structure that we call ice.
C) Adding heat favors the rate of melting, as more hydrogen bonds are broken than formed by the ice in the ice-water.
D) all the above