Nope, not at all Jean. I presume you're referring to the inflammation reducing effect of cold showers?

The hormonal and stress-reduction benefits of cold showers more than compensate for it.

Also, the inflammation reduction will boost recovery, thereby letting you workout harder too.

All in all, cold showers are a net positive. If you still don't want to take them, a quick 1-min cold shower as you said or washing your face will be enough