Jess Phillips has demanded urgent changes to the law, because in our current system “women don’t matter as much as cars”.
Labour ’s shadow domestic violence minister argued stiffer sentences were doled out to people found guilty of fly-tipping and damaging statues than to people guilty of violence and harassment against women.
Tory minister Victoria Atkins described clashes at a London vigil in memory of Sarah Everard as "upsetting" and said she takes the issue "very seriously".
But she said she wanted to give Metropolitan Police Commissioner Dame Cressida Dick the chance to explain what happened.
Asked whether Dame Cressida should leave her post, the Home Office minister told Sky: "I really, really want to support the Home Secretary in her request to have a report from Cressida.
"The police have got a tough job in policing the coronavirus pandemic more generally at the moment."
She added: "I think this morning given how difficult last night was, after what has been an incredibly upsetting week, I'm very keen that we don't pre-empt that report and we give the Met Commissioner a chance to explain what happened last night."
Atkins said the last week was a "significant moment" and could mark a "moment of change".
But she was criticised for holding “another survey” into the experiences of women, rather than taking action.
Ms Phillips has said there were "so many missed opportunities" by police at the south London vigil last night.
She told Sky's Sophy Ridge On Sunday: "Yesterday there were, oh gosh, so many missed opportunities throughout the day for police to work with organisers to create a completely safe vigil so that people could go and have a moment of sorrow and a moment of resistance against what is the experience of pretty much all women in the United Kingdom and around the world.
"They missed the opportunity at every turn until what we saw was a 5 ft 2 tall woman being pinned down with two men on her back."
She added the police at the vigil had "undermined" the work of police officers in the West Midlands who had worked to build women's confidence to report crimes against them.
And Ms Phillips told the Andrew Marr Programme that the forthcoming Police Bill does not mention women, but does mention statues.
And she said it allows for heavier sentences for fly-tipping than for stalking.
She said: “Yesterday I was in Birmingham City Centre getting ready to come here, and I notice there were people putting tickets on all the cars as it got dark...six or seven wardens out on the street.
"And I thought 'wouldn't it be nice if when I was out on a Saturday night there were six or seven wardens watching out after me.
But women don't matter as much as cars. We don't matter as much as fly tipping. We don't matter as much as statues. And the law needs to change that."
Ms Phillips has called for sentences for rape and stalking to be increased ahead of the debate on the Police, Crime, Sentencing and Courts Bill on Monday.
She told The Andrew Marr Show: "I think you should get more for rape than you do for defacing a statue... You currently can get more for fly-tipping than you can get for stalking. So I think in the case of stalking, I think that it needs to be doubled."
After calling for the minimum rape sentence to be increased from five to seven years, Ms Phillips also said misogyny should be treated as a hate crime and was asked about the suggestion the public is more interested in burglary and other crimes.
She said: "Where I live the public is genuinely more interested in bins than they are in domestic abuse so if people in positions of power think that we should only ever follow exactly what every single household has their main priority in - the reality is hidden crimes like domestic violence and misogyny, it takes leadership."
She continued: "The reason misogyny should be a hate crime is that there was a man who stood for election in this country and one of the things that he said whilst on political platforms was about whether he would or wouldn't rape me.
"If he had insulted me as a disabled person, if he'd insulted me on the basis of my religion, I would be able to take action against that man. Instead, I had to sit through weeks and weeks of people talking about whether I should or shouldn't be raped."
