The EA petition has since added another 300 signatures, so while the 'urgency' might not be there, the news has given this more momentum. It's up +453 on midnight, well over your target for the day, and there's still the late afternoon and all evening to go.
The Bradford petition is now at 113.3K, current rate about 2,600 signatures/hour. So Parliament will have to debate this, even if it's at 2am with three Tory MPs and a guide dog present.
Where the Bradford petition is helpful is it underscores the concerns of other groups who have protected characteristics under the EA - i.e. religion. These have been raised repeatedly in debates about single-sex spaces, but concerns about the beliefs of Muslim or Orthodox Jewish women seem to be dismissed or downplayed by supporters of self-ID.