Oh please don't 'do better'! There really is no need to subordinate yourself, no one healthy is going to require that of a woman.
You commented that inclusivity can be difficult, which implies that its a situation of discomfort that needs time to shake down. I've worked in and around inclusion policy for decades, there are times when people just need to get used to change and I've supported it. This is not it.
But from that perspective I'll say:
a) if it were just a prudish/lack of experience thing, just forcing people to be uncomfortable or get out is not inclusion. It's never worked, it makes things worse, not better. Inclusion, actual inclusion, only works when the the main group is not made so uncomfortable and disrupted that the entering person stands out a mile, everyone is angry with them and sees them as the source of the change, and there has been clear delineation of who matters and is favoured and who isn't. If I'd ever engineered a situation like that and caused a mess like this I'd have been in trouble for it and rightly so, that's not successful inclusion, it's causing a major mess. And anyone who knows anything about inclusion knows about the proactive aspect and will have thought ahead with some sensitivity to 'this is going to cause a huge, massive mess and a lot of bad feeling and make this situation worse than it is already'. '#fail.
b) Inclusion is emphatically not inclusion when the entry of one group forces the exclusion of another.
c) Protected characteristics are not a hierarchy, and there are nine, not one. Inclusion means accessibility for all people with those characteristics. Not shoving out some characteristics to favour another. That's another #fail
d) The first duty of female resources is to be inclusive of all females. Without exception. It's a female space. This cannot be achieved in a mixed sex space. Therefore that female space has ceased to be inclusive. Or accessible. It's another #fail
Whoever told you this was inclusive sadly knew nothing at all about real and actual inclusion.
What we're left with is situations like the Hampstead Pool -
three pools: Male only (policed and kept male only), mixed sex, and women's which is also mixed sex. There is no female only pool now.
TQ+ people have three separate pools they may choose from. Some female swimmers who were regulars at the pools now have no pools accessible to them at all.
Brighton Rape Crisis Service: three separate services. Male only, LGBTQ+ only, and womens which is a mixed sex service. TW have three different groups from which they can select their best and most comfortable resource for support in their time of crisis.
Female people are having to fight legally for their right to any service at all as they cannot access the one and only service for women which is mixed sex.
This is not inclusion. This is not even basically fair. What this is, is male supremacism in action. It's not ok. Females are not a lesser species who should sacrifice for males. They're really not. Giving up everything for others is not a healthy thing for women to believe they have to do - which is why all over MN you will find women supporting each other to have more self esteem, to have a more healthy and balanced view of who they are and their relationship with others.