Option 1 -> "Accede to" means to agree to or yield to demands, fitting perfectly with the context of giving in to pressure.
Option 2 -> "Veto" means to reject or refuse, which is opposite to what the sentence implies; also doesn't pair with "to".
Option 3 -> "Condone" means to overlook wrongdoing, but doesn't grammatically work with "to the demands".
Option 4 -> "Ascend to" means to rise or climb to a position, not to comply with demands.
Hence, Option 1: accede -> The phrase "accede to" is the correct idiom meaning to agree to or yield to demands or requests, especially after initial resistance. The context shows the President finally gave in to pressure regarding the Minister's resignation -> correct