funnily I did not loose my strength so much - 18 years of HRT and the woman at the fitness center said during the first checkup that I do certainly not need to train for muscle power since I have plenty - and focus more on those muscles that have to balance it.
However, the connection with hormones and shoulder pain may exist - one reason may be a lack of hormones (not enough E or not enough P or not enough T - yes, women also need some T). Another may be antiandrogens, especially Spiro, since this mess with your electrolytes.