While I certainly agree that professors should be held to a high ethical standard given the inherent power of their position they hold, I think the issue of age should also be considered. Additional giveaways are planned. The Policy on Consensual Relationships prohibits a romantic or sexual relationship between these two parties in the instructional context. Similar interests are a good way to suggest compatibility. You could jeopardize your career- even if dating a former student isn't against policy, it's certainly something that could be considered questionable conduct. Really would love it if she would teach somewhere else.
Watch the gap in years, because sometimes they know to be crucial factor.
Dating your Professor
It is never good to be intimate with someone who has that kind of influence over your future. Some attractions may stem from that, but many adults can be attracted to a professor physically as well as mentally. Now, I am 23 years old and I still feel attracted to older men. As for the question of "power" and "authority" difference- when did college professors become authority figures? I completely agree that it is wrong to date or even think of dating your professor or student, includes wanting to too because there are so many obstacles that can and will arise no matter what you do to go around them or whatever. Unless it is a really big lecture class, your professor will probably notice when you are missing.