Collect pollen in a baggie or baby food jar, until you have plenty for pollination, then ditch the male. 1 tsp is enough to pollinate quite a a few plants. I store mine in the fridge till I need it, then gently 'paint' it on the calyxes with a half bald Q-Tip. (one that I've removed most of the fuzzy stuff)
In your flower room, are there other females you don't want pollinated? Pollen will migrate on your hands, hair, clothes, air currents...