The correct answer is C. President.
The President of India appoints the Governor of each state on the advice of the Union Council of Ministers. The Governor is the head of the state and holds office for a term of five years. The Governor has the power to appoint the Chief Minister and other ministers of the state. The Governor also has the power to dissolve the state assembly and to appoint the Chief Justice of the state.
Option A is incorrect because the Cabinet Ministers are not empowered to appoint the Governor of a state.
Option B is incorrect because the Chief Minister is not empowered to appoint the Governor of a state.
Option D is incorrect because the Prime Minister is not empowered to appoint the Governor of a state.