If a man woos a woman, he spends time with her and tries to persuade her to marry him. The penniless author successfully wooed and married Fanny. = court + wooing woo·ing the hero's wooing of his beautiful cousin Roxanne
If you woo people, you try to encourage them to help you, support you, or vote for you, for example by promising them things which they would like. They wooed customers by offering low interest rates They are trying to woo back electoral support. + wooing woo·ing This election has been marked so far by the candidates' wooing of each other's traditional political bases