The answer to the crossword clue "What a dove symbolizes" in the New York Times is PEACE. Doves are often associated with peace due to their symbolism in various cultures and religions. In Christianity, for example, the dove is a symbol of the Holy Spirit and peace, while in Greek mythology, the dove was associated with the goddess Aphrodite, who was often depicted with doves. In general, the dove is seen as a symbol of peace, love, and hope, and is often used in art and literature to convey these ideas.