Chat GPT did provide links actually. And it perfectly aligns with what I found when I searched it a few days ago. About half of the studies show the majority of women specifically believe TWAW and are fine sharing single sex spaces with them.
Here is one I read:
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New research reveals positive attitudes towards transgender people
Published: 10 August 2020
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A majority of the public view transphobia as wrong and believe that they are not personally prejudiced towards transgender people, according to the latest figures from a survey commissioned by the Equality and Human Rights Commission (EHRC).
Research conducted as part of NatCen’s British Social Attitudes survey on behalf of the EHRC showed that 76% of people surveyed believed prejudice against transgender people was always or mostly wrong. Over 80% of people also believed they were not prejudiced against transgender people.
However, the research also demonstrates a more nuanced debate when it comes to specific circumstances, such as women’s refuges and the use of public toilets.
The survey revealed:
51% of respondents said they would be comfortable or very comfortable with trans women accessing a women’s refuge; with 24% feeling very comfortable and 22% neither agreeing or disagreeing. The percentage who were comfortable or very comfortable had dropped by 10 percentage points from the previous survey in 2016.
The proportion of respondents who said they were not personally prejudiced against transgender people has remained at similar levels, between 82% and 84% since 2016.
The proportion of women who reported themselves to be comfortable with a transgender woman using women’s public toilet decreased from 72% to 66%.
https://www.equalityhumanrights.com/news/news/new-research-reveals-positive-attitudes-towards-transgender-people
As I said, every study I have seen has shown either women's favour for transgender people and their rights to be where they want to be, or about 50/50 overall. This idea that only a minority of women are okay with trans women in their spaces is a myth you keep.repeating to yourself.
It would have never have got this far if women specifically didn't support trans women as vehemently as they do. You need to accept that many if not most of the women you encounter will not agree with you and will challenge your points. Especially if it claims to speak for all women.