The decisions we have made in how to raise our kids have been our decisions alone. Marriage is unbelievably amazing and indescribably painful; I have been at it for 28 years with my soul mate. Mormons observe the Sabbath closely, so Sundays are for attending church meetings and focusing on their spirituality. Make them feel special. That was hard on my relationship and I had to give up on my dream of being a computer programmer.
You just can't imagine the heap o' hurt you're potentially setting yourself up for. The date night strategy is a great idea, and we have tried it, but he is sometimes on call every other night for a month and it makes it tough the nights he's on call he likes to be home just in case and the nights he's not on call, he needs to sleep in case he's up all night the following night. There's this fantasy perpetuated in the religion that if you're good and pure enough, that any man you meet would eventually see the truth and join the church for you. Maybe it was because I was so young when I made the choice, maybe it was because I was the oldest child in an extremely active family with parents that just expected me to be a shining example to the younger kids. Start doing little things even when you are not there. By the way the dog is a corgie. Based on what you have written about your GF, my opinion is that you should cut your losses and move on. After residency, depending on what specialty they do, there will be a separate set of rules of how they have to give their time oncall, early surgery times, working holidays etc. I was off travelling the world when I met and fell madly in love with a deployed Marine. I would also say that this is the most stressful point in their lives.
Mormonism has a lay clergy, so everyone serves in the Church. Our first Christmas married I want you all to know that you are loved and appreciated. I do get a little frustrated when I make dinner but he's just too tired to eat with me after working. A grandpa sense of humor and occasional clever line from an old movie go a long way. She may never join the join the church. I would rather being with a man who makes less and is faithful but that is just me!.
Something that will help you stand out is a strong masculine frame. If she can see that YOU are what is important in the relationship, not what you or she believes, ya'll have a chance. It made me so very sad. My two daughters have each chosen a man who is emotionally and physically available, thank goodness. Amasa enjoys art, music, and traveling. All that being said, no one can tell you what is right for you except Heavenly Father. I dated non mormon men. Mormonism is simply too unaccepting of mixed relationships. IF she becomes an Atheist free thinker like you then consider keeping her.