My new girlfriend's mom is sick with cancer. What should I do?

My new girlfriend, not even sure where are relationship is to be honest, told me last week on our 3rd date that her mother was having surgery for cancer. I want to be available for her but we are still very new in our relationship. We definitely have a good conection, we went out on our second date and then the next day I went to her place and spent the night at her place we both fell asleep on the sofa in each others arms. I know she is going through a lot with her mother and told her that I'm available anytime. Also we message each other or talk everyday for a bit. I want to be there for her, but I am not sure what's appropiate.
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So we had for lunch last weekend, obviously her mind wasn't in it which I knew but thought she could use a break. Since however I have continued to message her everyday just to makesure she is OK and I ask about her mother every couple of days. I'm concerned about her and her mother but I feel I can't do much. I noticed that I been contacting her first lately which is fine but am not sure if she wants me to, she seems a bit distant and I don't blame her. Not sure if I should keep contacting her?
My new girlfriend's mom is sick with cancer. What should I do?
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