Sounds to me that you did well with the encounter.:yup: Your sense of awareness made you less venerable, whether it was the 20ish female who walked toward you, or somebody else that you may have encountered on the train, freeway, store, etc. :yup:
First and formost, to the ones who may be thinking "oh no, here goes another profiler" no, crimminals come in all sorts of ages, sizes, colors, and yes, ages. :yup:
Some may take offense (this is not my intention) to me stating that yes, I too would probably profile them if they were wearing a hoodie over their head, and my spidey sense would place me on alert. The way I take it is, if you can't fully identify yourself by taking off that hoodie, (or any other garment that doesn't give me a clear concise view of your face) then I will accept you're possibly up to no good. If I have to ask you to stop where you are, take off the hoodie and you don't/won't, then you'll get the same response from me with the hand outstretched and the other hand in the position to possibly draw my weapon if I am armed. The fact you didn't have your gun on might make you more venerable, but they don't know you're not armed. Just placing yourself in a good defensive position and saying "stop" is enough to make that person know you're setting the boundries.
Yes, people innocently place hoodies over their heads to help keep warm, and to also make a fashon statement, but the crimminals place em over their heads in an attempt to conceil their identity. With all that in mind, and taking the time of day, area of the city, outside temperature, time of year, etc, I would say you did no wrong by setting up your perimeter. the fact you were alert, and mentally prepared, made you less a target. You also wated their actions from a distance in order to prepare yourself for the journey home and for future encounters, should they happen the next day.:smile: