She will be pressured and will likely shut you out. I get to spend my life with someone who was not raised on fear and guilt and strict gender roles. I loved him for THAT. I hope that makes sense. My boyfriend is currently in his third year of medical school. One red flag I have for Mormon girls is if they drink coffee.
You should be fine as long as you stick to the lines you have laid out. You and your fiancee might want to get in touch with one to work out the day-to-day issues of an interfaith marriage. If all you are looking for is some non-serious dates to have a good time, you should be fine. It's also possible that deep down she's like many of us here, and her shelf will break and she'll want out. I think you should start by having some very honest conversations. He also brought up issues with the church when we discussed religion so slowly he brought to light some disturbing facts and even though I would have denied it, it got to me. The point is that he should ASK her if this is true for her. In our church, women are treated with more respect, and are considered to have a literal free ticket to heaven, simply bu because their female.
Obviously don't make any commitments further in the relationship because you do not want to be married into an insane orthodox LDS family because it will cause alot of troubles. He spends about 80 hours a week at the hospital. He should tell her that he will never convert, and that if she will not be happy unless he does, the relationship should end. I am the same good faithful woman I always was, just on a different path than I ever expected, one full of insights and blessings I never knew could exist. You arent "giving up" anything. And even then it will put Huge stress on it and on you for the rest of your life. If you are very much willing to accept and understand all of these, whether you are a Mormon or not, you can expect that it is fun to date a Mormon girl. Trust me, I too tried to make it work with my very Mormon also returned missionary ex-girlfriend.
Of course I have time for my SOs, of course I give of myself to them. Whenever you bring something up, they'll say if it's not on lds. Otherwise you're just denying them eternal salvation in their eyes.