I'm afraid based on experience over the past few years I would also be suspicious.
The sensitive, kind and thoughtful things to consider are all mentioned above; women are bloody good at them. (The female type, that is.) That this is a biological woman, who if attracted to other biological women is a lesbian, that this person may need support or be considering detransitioning, that this may be someone who would benefit from the group.
The bitter experience of TQ+ type approaches and actions are equally there because if anyone who hasn't learned to think twice and not be naive and gullible by this point is not paying attention: it is regarded by many activists as weakness and an invitation to take full advance without conscience.
I would have to wonder who this person may be representing as a doorway, and that once they have established that 'some lesbians are men' it will be very difficult to say no to the TW who arrives to say 'some males are lesbians' and also wishes to be part of the group.
I would be reminded of the many, many L groups destroyed from within by TQ+ members who insisted that either everyone obeyed and conformed or the group must be eliminated, and that essentially involved forcing out the concept and language of homosexuality or permitting females an all female space. Which is why so many L groups now operate underground. The politics works on a 'search and destroy' mode for female only facilities evading male control.
There are many LGBT+ groups where homosexuality means anyone of any sex can use any word they want and no one's allowed to mention biology or have preferences, all of the publicly listed ones are. This person has plenty to choose from. Female people who recognise their sex and biology and homosexuality do not.
It's hard to not 'be kind' and considerate, but the lessons taught by this ideology have been bitter ones. I would be glad to signpost this TM to local groups where they can identify how they like without this being an issue, and say that your group is not for them. And that is ok.