I,personally don't find the evidence that Lilcoln was gay credible.
Lincoln had three sons. Robert Todd who lived to adulthood and served in both the Garfield and McKinley administrations, Willie who I believe died while Lincoln was president and Tad who died a few years after his father was murdered.
If Lincoln wasn't a ladies man he certainly was attracted to the opposite sex notably Anne Hathaway in addition to his wife.
Licoln suffered from Marfan's syndrome. There is no documentation that he ever suffered from a venereal disease. Marfan's Syndrome accounts for his disproportional Hands, feet and ears.
The short version is that even if he was gay it doesn't negate his accomplishments. Kindest regards, Neil