ANDREA SHALAL and LAWRENCE HURLEY President Donald Trump said on Saturday he will nominate a woman to sit on the U.S. Supreme Court, a move that would tip the court further to the right following the death of liberal Ruth Bader Ginsburg. "I will be putting forth a nominee next week. It will be a woman," Trump said at a campaign rally in Fayetteville, North Carolina. "I think it should be a woman because I actually like women much more than men." As Trump spoke, supporters chanted: "Fill that seat." He praised Ginsburg as a "legal giant ... Her landmark…