Turned out I had a little more time: I don't personally even like coffee, so if she doesn't either that would be awesome. I'm a tea drinker.
Actually here in Sweden we have the famous "fika" which is basically just meeting somewhere out and having, typically, a bit of coffee and some kind of pastry and talking a bit. A fika can be between friends or as a date. I feel it's the proper level in any case, dinner is way more serious stuff.
EDIT: Forgot to add, she's a nurse at the sleep apnea clinic. I only met her last time and I thought we got a bit of a connection. At least I found her mesmerizing. So there's the ethical bit of her being my nurse, but it's not like she done a complete physical on me. She's helped with the programming of my CPAP machine. I'm going in tomorrow to have it reprogrammed a bit.
She sounds intelligent, which is sexy as hell. I say go for it.
Also, one of my friends fell in love with a nurse who had been an old friend from high school. They met when he was in the hospital. They're getting married in 3 months. I'm officiating the wedding. Once more, I say go for it, because you never know, and even if it doesn't go anywhere romantically, can you honestly find a better way to spend your time, than in the pleasant company of an intelligent, "mesmerizing" person?