Hi, this has been happening to me too. I am also menopausal and I've been struggling with terrible disabling hip and back pain for about 18 months. I saw a physio and a specialist in A&E because of this (pain so bad he rated it as a 10). I've been referred to orthopedics and the pain clinic (very long waiting lists) but my horrid GP only offered me antidepressants for the pain. So that's my story here's my advice -
Go see your GP. ASAP because, as I said, NHS waiting lists are appallingly long and the sooner you get your name down on the list the better.
If you can afford it, get a diagnostic appointment with a physiotherapist, this will help you to get your GP to take you seriously. If you go see one at a local leisure center rather than those who work from an office or home you might find them cheaper by around £20 a session (I saw one in their office only to find the local pool had one who had good recs but cost £45 compared to the £65 I paid)
Whilst you have mentioned the hip pain first you might well find that it's actually coming from your spine and running into your hip, though you will need a doctor or physio to judge this.
The specialist I saw in A&E told me that I have a herniated spine, disc/s ruptured possibly quite high up because of my pain level and that I might just have to learn to live with that but that with proper pain management I might be able to start walking again (as in my usual daily exercise I have done for decades, not that I have lost the use of my legs completely )
The physio I saw also said this was a spine issue with possible bulging discs and he gave me stretching exercises to do - I now do yoga (I know, lots of people hate the very idea of yoga, including me) and these are the things I now do and they do help a bit but mostly just with mobility rather than pain:
Stretch yourself on your hands and knees like a cat, with your bum in the air and your back arched then lower your shoulders down and hold for a minute to really work those back muscles.
Half plank - keep your pelvis glued to the floor and lift yourself up making an arch with your back, do ten reps a day morning and night and slowly add more reps as you are comfortable with.
I now have nicely toned arms and my abs are in better shape too. I genuinely feel it if I don't do these reps for a while and if I am woken up in the middle of the night (this happens quite frequently) I do the cat until the pain eases a little and I can go back to sleep.
I hope some of that helps you.