I would not say it is for tiredness unless you follow that up with "because I'm not sleeping due to drenching night sweats".
Whilst HRT may help with tiredness, (although it is usually testosterone that helps the most here and there's no way you'll get that off the bat from a GP at 64), unless your GP is particularly well informed they are unlikely to prescribe HRT for this reason alone.
You would be best to say that you are having terrible hot flushes several times a day and also that your last period was less than 10 years ago.
Cite the NICE guidelines which recommend HRT for women under 60 OR within 10 years of menopause. Better still, take a printout of this with that part highlighted.
Be prepared that you may have to go back more than once so don't give up. If a prescription is issued for any treatment that isn't appropriate, leave it in the room, don't take it with you. This way they know you haven't taken it and will cancel it from your medical records.
I would ask for an estradiol patch and micronised progesterone. It is likely you will get a 25mcg patch which is very low, but you can always start this and ask for more once you have a foot in the door, rather than arguing for a better dose when you don't currently have any.