You need to stop "beating up" on old GH. When Hardy wrote his famous apology, he was very depressed and that sadness permeates the book. Furthermore, he was using old-fashioned language when he used phrases like "young men". He certainly encouraged women to study mathematics. For example I remember reading something by Mary Cartwright about how he was an early supporter of hers. Also in Littlewood's miscellany there is an anecdote about how Mary Cartwright would tease him about being a mediocre intellect, and Hardy once telling Littlewood that she had a "devastating fast ball".