Can face masks also irritate sensitive skin?

My skin was dry and red, so I used a soothing mask pack, but after using it, I felt like my face actually got slightly redder.

I used to think that face masks were always good for the skin, but it seems even that can be irritating when your skin is sensitive.

I'm not sure if it's due to friction from the sheet or if the ingredients didn't agree with me. Do people with sensitive skin use face masks often? Or do you tend to soothe your skin with just cream?