You could try talking to them about this. Try "hey, I understand being in this industry can be difficult as a woman, I am not very familiar with the problem but I don't want to be part of it, and I'm concerned about how much eye contact I'm giving you during meetings. I don't want to make you uncomfortable with my eye contact or this question, but is it a problem for you?"
Most likely they'll tell you they have a lot of worse things to deal with than how much eye contact you're giving them, but it'll be a learning experience and at least you'll open up a dialogue.
Most likely they'll tell you they have a lot of worse things to deal with than how much eye contact you're giving them, but it'll be a learning experience and at least you'll open up a dialogue.