Better waiting than be overtaken by a blizzard or thunderstorm. Do not push on through the night. Make camp early and rest thoroughly. You can continue tomorrow with a much greater safety margin. Do not get exhausted.
Exhaustion promotes heat loss, and thus hypothermia.
Besides, if your exhausted, you are probably drenched. Do not get in over your head. If your experience is limited to day hikes on moderate trails, do not try to go out and tackle Mt. Washington in February. Learn to use a map and compass. Learn fire starting techniques.