bad to shower very warm water with cold feet

[Miku]

I have searched over the Internet and couldn't find anything similar to my case. My case is, in winter, I always have cold hands and feet. So every time I take a shower, I feel my feet is burning for a few minutes, then they start to turn red. No pain or other things, but feels great. I though maybe the red is the blood rushing down to my feet. My mom always shout at me after seeing my red feet. She said it will harm me if I do this all the time (taking a hot shower in a long time(25-30min)). Is it harming my feet?