When your girlfriend ask to have some space to focus on herself and family because they are sick, and she has no time for are relainship, but she still loves me and has feelings. Also said its not permitted. I feel that I should be there for her to help, and comfort her. What should I do?

Do as she says, as she doesn't want you there to support, and comfort her, and it will cause problems. Back off and see if she calls you when she needs you. Otherwise, leave her alone.

Sounds like your girl friend has demoted you to he fiend zone, so back away gracefully and keep your dignity and self respect, and don't make a pest of yourself. Maybe she will miss you, maybe she won't.

I agree if you really love her you will give her space and when she needs you she will come to you. But make sure this relationship is a little serious because you don't want to be "played" or on the rebound. Go with your gut feeling. You know her better than anyone of us reading your question. A sick family does sound legitimate but however I would want my boyfriend the most for support. But then again every person is different.