Protesters angry at men's violence against women and heavy-handed policing marched earlier outside police headquarters, parliament and Prime Minister Boris Johnson's office.
They chanted "Kill the bill" in the streets of Westminster days after police were criticized for using excessive force at a vigil for Everard.
Everard, 33, was abducted as she walked home in south London on March 3 and a police officer has been charged with her kidnap and murder, provoking a national debate over how British society deals with male violence against women.
The protesters briefly blocked traffic on nearby Westminster Bridge before gathering outside New Scotland Yard, the headquarters of London's Metropolitan Police, and moving on to Johnson's Downing Street office. Protesters stood opposite a line of police outside New Scotland Yard, chanting "Sisters united will never be defeated" and "Who protects us from you?"
Political focus has shifted onto London's Metropolitan Police after officers tried to disperse a vigil for Everard on Saturday, saying it breached COVID-19 lockdown rules. They scuffled with mourners and dragged women away in handcuffs.