You don't need to have a reason to try it. You just need to ask for it. It's none of their business to justify your 'need' - you do that. You are entitled to get your hormones back. Honestly, the stories I hear...
Of course you don't know if it would help your symptoms yet, that's why you need a trial treatment with it. If you like it, stay on it. If you don't like it, come off it. It's not a permanent decision.
Besides your symptoms, there is also your future health to consider - heart disease, dementia, bowel cancer, arthritis, osteoporosis - all of which estrogen massively reduces the risk of.