When uke attacks (offers to me!) a hook/straight punch jab, whatever... and i tegatana, then atemi uke's face and put now free arm round uke's neck to drive down, i usually end up with a snot covered gi sleeve and a hand now holding the back of a falling uke's neck (for no reason) but upon thinking about it....if i slide the back of my hand, that was at the back of the neck, down uke's back and apply slight pressure, it arc's the back and uke falls faster, without as much travel, and my Gi only really touches the mouth region now, so i only have to wash out spit, no snot. but is it okay?