Hello anxiousij: Thank you for bringing your concern here to PC.

I see this is your first post. So... welcome to Psych Central.

The anxiety forum, here on PC, may be another one you'll be interested in. Here's a link:
https://psychcentralforums.com/anxie...c-and-phobias/
It seems to me there may be a couple of possibilities with regard to the concern you are having for your mother. One is simply that you love her & you're concerned for her welfare. The other is that you're an anxious person to begin with & your mother's situation is just something that has stoked your already high levels of anxiety. If your situation is the former then, from my perspective at least, it's simply a matter of understanding how you're feeling, coping with it mindfully & being supportive of your mother. If, on the other hand, it's the latter, perhaps what you're experiencing is a sign that anxiety is something you need to address in your life in general so that it does not continue to plague you in years to come.
Here are links to a selection of 10 articles, from Psych Central's archives, that (hopefully) may be of some help:
6 Ways to Stop Absorbing Other People's Emotions
How to Sit with Painful Emotions
Use This DBT Skill to Manage Your Emotions and Enhance Your Life
How to Manage Emotions More Effectively
https://psychcentral.com/blog/13-hea...dium=popular17
https://blogs.psychcentral.com/emoti...sitive-person/
https://psychcentral.com/lib/9-ways-...ere-right-now/
https://psychcentral.com/lib/15-smal...iety-symptoms/
https://psychcentral.com/lib/top-10-...s-for-anxiety/
https://psychcentral.com/blog/9-ways...-your-worries/
I hope you find PC to be of benefit.
P.S. You didn't mention your age. But just on the off chance you're a teen, here's a link to an article on handling emotions as a teen:
https://psychcentral.com/blog/techni...your-emotions/