I put an ice pack on my head sometimes; is that okay?

I heard that having a lot of heat on the scalp is also bad.

When it's too hot, wrap an ice pack in a handkerchief.

I have it on my head.

Then it would be really cool and nice, but

Is it too cold? I'm wondering if that would be too irritating.

There are times when I have all sorts of worries, but

It should be okay, right? ^^;;;