So .....
The meeting was cordial and convivial. The manager at my club is conversant with the law because he takes guidance from VA's legal department, rather than spouting rubbish. There was no mention of Stonewall or Mermaids type law, thank goodness.
VA's policy applies nationwide as I would expect. They don't allow random males into the female changing rooms; it's a case of 'assessing each case on its merit'.
We discussed protected characteristics and he was spot on about the fact that both 'sex' and 'gender reassignment' are protected; there was no clouding the issue with the use of 'gender identity'. He also acknowledged that these protected characteristics could cause clashes between different groups.
We discussed the needs of specific groups of women, for example Muslim women (I'm sure that other religions are affected too but I don't profess to be an expert) and how they would be marginalised by the inclusion of males in female spaces. He was definitely understanding and supportive of their needs and rights.
It is expected that anyone other than a biological female wishing to use the female changing space should discuss their requirements with the management prior to using that space so that an assessment can be made as to whether it's reasonable to allow them to do so. It's hard to police but that's the understanding at my club: males are not free to invade female space at will.
I did ask what would happen if I observed a male person changing with me and was uncomfortable about it. The manager was quite clear that the male person, rather than me, would be invited to an alternative space where they could feel comfortable while matters were resolved, ie discussed with the legal team. He understood that this may take time and would not permit the person access to the female changing space while discussions were ongoing.
He did admit that it was a minefield and said that, until we had a 'test case' (for need of a better word), it was difficult to predict outcomes.
My gut feeling about the manager at my club – bearing in mind that he was reasonably careful about his choice of words – is that he supports women's rights to single sex spaces. If he were pushed to make a choice I do believe that he'd come down on the side of women. And sanity. He knows what a woman is. Definitely.
I haven't changed the world here – I never expected to change VA's policy in a single meeting – but I do think that my club manager is handling this fairly in the light of VA's top level guidance. If clubs were free to decide individually, I'm sure that my club would find in favour of women.
I did feel that my fears and concerns, on behalf of all women, were heard and I was treated with respect. The manager had already passed on my views to senior management so our voices have been heard, if only quietly for the time being 
There is still much to be done. However, I do feel reassured that the safety and dignity of women is something that my local manager takes seriously.
I think I've made a small amount of progress today; baby steps and all that.
I'd be really interested to hear outcomes from other clubs.
Thanks everyone for just being on these boards. You give me hope. All of you 