The scotus nominee should not be affected by gender. It should be the best qualified judge who makes decisions based on the law and constitution, not their feelings.
Additionally, the reason they are appointed for life is to take away any potential influence they might feel to lose their seat should they make a decision that is not popular. By being installed for life, they are free to decide on issues without fear of losing their scotus position. To do the right thing, rather than the popular thing.
My office desk is bigger.