I just gave this story more claps than I've ever given anyone in my 3 years at Medium.
My first two marriages were to women close to my age. After the sex faded, there was nothing left. My current wife of 38 years is 19 years younger than I. Financially, I carried the first half of the marriage; now, my health has faltered, and she carries the larger load. (I do all the housework.) We are a partnership and best friends. Six kids who drive us both crazy. People no longer assume she is my daughter.
Since the doctors say I should have been dead several years ago, she will soon have the experience you had with your Professor, except my wife will have the luxury of being with me when I go.
This response is way too long, but I have to list some of the pros and cons that have not been stressed already by you or the commenters. (1), Though I don't think they will ever admit it, the judgments from people of same age on us are sexual. They can't imagine that hot young woman having sex with that old fart. But after a year or two, sex is no longer the glue in any relationship. (Which largely explains the 50% divorce rate, I suspect.) There has to be something else. (2) As a general matter, women mature faster and more deeply than men. I was the worldly one, but she had the wisdom that mattered to us. She has saved me from myself repeatedly. (3) Our children have parents that come from different perspectives, because of our age difference. The children seem to have benefitted from both.
The only con is that, more than likely, I will soon be gone. She will be left here to do the mourning and adjusting, while I will be in a place beyond emotion. If we had our way, we would never separate.