Final answer:
The most likely type of metamorphism at a divergent boundary is hydrothermal metamorphism, where heated fluids alter the rocks.
Step-by-step explanation:
The most likely type of metamorphism to occur near a divergent boundary is D) Hydrothermal metamorphism. At divergent boundaries, tectonic plates are pulling apart, causing a reduction in pressure in the underlying mantle, which can result in the production of magma. As a consequence of this magmatic activity, water and other fluids get heated and circulate through the rock, causing hydrothermal metamorphism. This type of metamorphism is characterized by the alteration of rocks by heated fluids that are rich in minerals. Unlike contact or regional metamorphism, which are typically associated with magmatic intrusion and tectonic plate collisions respectively, hydrothermal metamorphism does not require the high temperatures and pressures from those sources but instead involves chemical alteration from hot liquids.