so sorry that you are dealing with this at a young age. It is a scary diagnosis but the good news is you've discovered it early and can now take all steps necessary to improve. Have all causes been explored? Have you been tested for celiac? A truly accurate diagnosis can only be determined by biopsy but gluten antibodies can be tested. Your osteoporosis may be specific only to early menopause though and that would surely be reason enough.

May I ask why you cannot go on HRT? There may be specific risks in your case that preclude using hormones but I ask this because most conventional doctors will not prescribe hormones due to fear of risk factors that were misinterpreted in the flawed Women's Health Initiative study from 30 years ago. If it is something you want to explore further to get an accurate picture of actual risks, I would highly recommend seeking out a knowledgeable specialist in menopause and hormone therapy (as most gynecologists and endocrinologists are not knowledgeable in this area). One can be found through the North American Menopause Society. You can also start by listening to Dr Felice Gersh, Dr Mary Claire Haver and Dr Avrum Bluming (book-Estrogen Matters) to get a more accurate assessment of benefits vs. risks. This may not be applicable in your case but worth a really thorough exploration as hormone replacement therapy would help build and maintain bone (along with a focused diet and appropriate exercise)