I'm thinking of allowing my non-pregnant cousin to move with me over my pregnant and single cousin.
Why would you choose your non-pregnant cousin over your pregnant and single cousin?
Because she's a better match for me than my pregnant cousin.
There's no rule that says you have to pick one over the other, but it is wrong to discriminate against your cousin just because she is pregnant. You should be helping out both cousins however you can.
That is something only a feminist would say. Are you a feminist?
I am but I do believe that everybody, men and women who are going through some discrimination deserve help. It would be rude to ignore the person who needs the most help.