You'll be okay , just take it easy with the knitting. I've had problems here or there over the years but I've never had to stop. You might need to take a break. Try not knitting for a few days, I know thats hard, then do it in little bits, like ten minutes here or there, just till you feel better.
Also I agree that tension could be an issue. I adjusted the way I held my yarn, so the yarn is looser in my hand, I also made myself slow down a bit and pay attention to my knitting( I should do this more in general, ha ha), if my mind wanders off and starts worrying about things my hands get tense.
Another thing thats made a difference is the type of yarn I use, my hands hate cotton because it doesn't have as much give to it, my hands love wool. But don't limit yourself right away , some cottons could be better than others depending on how they've been spun, like four ply verses one ply.
Yet another thing that helps me and was recommended by a doctor is exercise, to loosen up and get the blood flow going, yoga really helped me.