I appreciate that this is a common TL, but it can't hurt to give it a fresh go. In this scenario, Nixon avoids being hospitalised after injuring himself on a car door and wasting two weeks. In addition, he looks better and healthier in the first debate with Kennedy. As a result of the extra fortnight of campaigning and the better performance, Nixon edges Kennedy.
From the New York Times, 9th November 1960:
Nixon Victorious
VP Edges Victory Over Senator John F. Kennedy
Vice-President Richard M. Nixon defeated Senator John F. Kennedy last night in a battle of a closeness not seen for decades.
The high drama of the night came when Mr. Nixon took Illinois by just 2,000 votes after a recount. New Jersey was also secured by a razor-thin margin. Hawaii and Missouri also just fell into the Republican camp.
Senator Kennedy has conceded defeat and has returned to Boston to commiserate with his family.
From the New York Times, 9th November 1960:
Nixon Victorious
VP Edges Victory Over Senator John F. Kennedy
Vice-President Richard M. Nixon defeated Senator John F. Kennedy last night in a battle of a closeness not seen for decades.
The high drama of the night came when Mr. Nixon took Illinois by just 2,000 votes after a recount. New Jersey was also secured by a razor-thin margin. Hawaii and Missouri also just fell into the Republican camp.
Senator Kennedy has conceded defeat and has returned to Boston to commiserate with his family.