I agree with the various posters that say "Stay away".
If this is a serious question, the issue of sexual harrassment is the only point that must be considered. The difference in your respective ages as well as the supervisor versus subordinate role would cause a huge legal problem if she chose to go that route. It's not worth the aggravation!
You may consider staying in touch when she leaves to see if a) she really is interested and b) to provide distance so that the issue of harrassment becomes a moot point.
If this is a serious question, the issue of sexual harrassment is the only point that must be considered. The difference in your respective ages as well as the supervisor versus subordinate role would cause a huge legal problem if she chose to go that route. It's not worth the aggravation!
You may consider staying in touch when she leaves to see if a) she really is interested and b) to provide distance so that the issue of harrassment becomes a moot point.