I think you mean to update it back to the OLD
password, when the NEW one is not supplied.
DROP TRIGGER IF EXISTS upd_user;
DELIMITER $$
CREATE TRIGGER upd_user BEFORE UPDATE ON `user`
FOR EACH ROW BEGIN
IF (NEW.password IS NULL OR NEW.password = '') THEN
SET NEW.password = OLD.password;
ELSE
SET NEW.password = Password(NEW.Password);
END IF;
END$$
DELIMITER ;
However, this means a user can never blank out a password.
DELIMITER $$
CREATE TRIGGER upd_user BEFORE UPDATE ON `user`
FOR EACH ROW BEGIN
IF (NEW.password IS NULL OR NEW.password = '' OR NEW.password = OLD.password) THEN
SET NEW.password = OLD.password;
ELSE
SET NEW.password = Password(NEW.Password);
END IF;
END$$
DELIMITER ;