Over 12,000 people have signed a petition calling for Twitter to have a "zero tolerance policy on abuse" and "to recognise its current reporting system is below required standards".
The petition was set up after feminist campaigner Caroline Criado-Perez was allegedly targeted with violent abuse and rape threats.
Criado-Perez successfully drove the campaign for women other than the Queen to feature on English banknotes.
More top news
More than 400 people have died in a week of bombardment in rebel-held eastern Ghouta in Syria.
Coldest air yet to arrive
The band's hit singles include You To Me Are Everything, Can You Feel The Force?, and Can't Get By Without You.