Give Her Your Coat.
If you see a lady shivering or complaining of being cold, don’t ask if she’d like to wear your sweater, jacket, suit coat, etc. She’ll say no almost every time. Instead, take the clothing item off and extend it in your hand toward her and tell her to put it on. Don’t demand, but telling instead of asking gives you an air of confidence, concern, and leadership. And any guilt she may feel if you offer to take off your warm coat will no longer be a factor if you’ve already done it. If she declines, don’t argue more than once. The point is to be considerate.
*Bonus Tip: make sure the article of clothing is in good condition and smells good. It represents you so make sure it’s doing a good job.