Advice please!! Three days ago the cat got inside when the birds (two budgies) were loose. She got my female! Cat got kicked out and Diggy flew off. Had to catch her, so she flew all around until I got her. Inspected her and her wing seems punctured.

I just kind of watched her. Bleeding stopped immediately. She stayed out for a bit, then went into her cage. On the first day she stayed quiet and perched. On the second day she was on the ground and was all fluffed up. My male is taking care of her. Feeds her like a baby bird, lays next to her, and sings to her. I put a heat lamp over the cage. She climbed toward it and now (third day) is sitting on a box i had in there closest to the lamp and is still puffed up.
No avian vet near and can't afford a vet visit. I want to do whatever I can to help her survive! I read that cats are poisonous, either mouth puncture or claw. Could it be, since she has survived this long, that she will pull through??
Also, interesting point, I got her from a friend who rescued her from outside. Someone had let her outside and she was being attacked by crows. She survived that.. she's a tough little thing. She is also still afraid of humans, so just to catch her is stressful.
I know I should take her to a vet, but fear it's too late and I can't afford it.

Please some help, not criticism.