In my experience, older (not old!) women tend to be more direct. When they've told me they wanted to hang out, they meant they wanted to have sex.
I wouldn't suggest verbalizing it--let the subtext remain subtext. Just see what happens.
“Never give up control. Live life on your own terms.”--Walter White, Breaking Bad
I have a journal, now!
She wouldn't want to tell you she wants sex because right now she doesn't know. All women want sex, but she can't choose to feel chemistry. It may happen and may not.
I dont know this woman and really either do you. She may want to get something going with you but she also may just want to flirt and have some company. I have known a few women who use the fact that you want to get them into bed to just have some fun company.
Either way direct approach...bad idea.
"20 years from now, you will be more disappointed in the things you didn’t do than in the ones you did do." - Mark Twain
"So many cats, so few recipes" - Vietnamese lunch wagon I saw driving down the road.
Would you be interested in meeting her if all she wants is to make a new friend, no romance?
However, if she wants a long-term relationship, it's a no-no. I will be visiting her city only once in a year and I can't seem to find a logical purpose in pursuing a LDR with this lady when I will be starting my masters education in another country, in a few months. This is a decision I have set in my mind for all the women I will be seeing before going for study abroad, not only her.