Edinburgh Women's Aid is not the same organisation as Edinburgh rape crisis centre.
So while this is good news the obfuscation at the latter still remains.
https://edinwomensaid.co.uk
https://www.ercc.scot/women-only-services/
(Their website is slightly clearer than it was but women only can include TW, you need to read the small print...)
https://beirasplace.org.uk remain the only place in town with clear and transparent signposting for rape survivors.