You are very lucky that she is ok but that's all it was, luck.
What do you think your parents would do if you were in pain and bleeding? say, sorry we don't have the money to take you to the doctors?
Loving someone, whether it is a human some one or an animal someone, is a big responsibility. It is way way WAY more than how you FEEL about them, it's what you do for them and how you take care of them. especially with children and animals, who can not speak for themselves and can not get the help that they need on their own (obviously I mean very young children)
It's great that you feel love for your rat. But its not enough. and that love should be telling you that you don't want anything bad to happen to her, or to her new buddy. That love should be saying to you, I want what is best for my new rats, and I will do whatever I can to get them what they need.
If it means using some of your fierce determination to insist that your parents get your girls to a vet if they become sick or injuried, that is what you'll do,
because that is what REAL love is all about. It's the adult, grown up responsible love, not the touchy feel-y, oh you're so cute love of a child for an object.
This is a live creature who is trusting YOU to keep it from harm's way, the same way you trust your parents to keep you out of harm's way, and to take care of you if you are sick or injured, etc.
I hope you understand what I am saying and will think ahead to what you can do if these girls get sick. Sadly too many rats do get sick in their lifetimes, and its good to have a plan.
You don't come across as someone who says to their parents, OK if you don't think we need to provide vet care for our pets, that's fine with me. You come across as someone who is able to stand up for herself, well if you love your rats as you say you do, please stand up for THEM.
they are counting on you. ok?