I may be wrong about this, but I don't think Orthodox Rabbis even recognize other branches of Judaism.
Usually not. She has several choices however. She can stay in conservative movement. She can pursue conversion into orthodox (takes work and persistence but she can find a welcome if she’s sincere to do it — she said she doesn’t wish or can’t afford to move to a place near an orthodox synagogue where she could pray and observe the sabbath — so right now that’s an impediment for her — ). Judaism teaches that you do NOT have to become Jewish to go to Heaven /gan eden. And Judaism expects more commitment or behavioral observance from Jews than from the “righteous non Jews” who will also go to Heaven just as well. Therefore, while all are welcome to convert to the Jewish faith, a good rabbi will require both sincere study and commutment or resolve of purpose. Since being a Jew requires a lot more of the person than being a “righteous non- Jew” and becoming Jewish confers no additional “heavenly” or ultimate benefits in the life to come. She should not confuse a rabbi’s caution and requirements as a lack of welcome — thryre just designed to make sure she understands she’s undertaking a serious commitment that will require some Real adjustments in her life. — adjustment she didn’t sound quite ready to undertake in her phone call. She can be just fine with God without converting - nevertheless.