Cat!

I have a question about our quakers and our cat? We keep our cat out on our closed in porch with heat for her thru the day until the birds go to bed, then we let her in. I was wondering if there was some way we could let her in around our birds so we don't have to put her on the porch. She knows they are here but, everytime she goes around the cage my husband gets on her for it because he's afraid she will hurt the birds. We have had her ever since she was as small as the palm of my husbands hand. But he has never wanted her around the birds because her Mother was a hunter and he's afraid she will be a hunter and kill the birds. I would like for her and the birds to get to know each other. I've always wanted that. But now I'd like to know if we could get her used to the birds now. She is almost 1 yr old now.