Is it permissible to take a tissue from one’s pocket or keep it in hand during prayer in the event of a cold and runny nose, for fear of something coming out of the nose?

We hope there is no problem in taking out a handkerchief and using it during prayer, as a slight movement does not invalidate it. The Sunnah has indicated the permissibility of light movement in prayer, and jurists have mentioned the permissibility of wrapping a turban, and taking out a handkerchief is lighter than that.