Residents who spoke to CNN were angry at the Prime Minister's decision not to meet with victims when she initially visited the area.
The Grenfell Tower blaze has sparked anger and flickers of social unrest in the streets of west London amid an atmosphere of political paralysis as May struggles to respond to the disaster.
A fire broke out at the 27-storey Grenfell Tower earlier this week, killing at least 17. In a letter to May, he listed a litany of residents' concerns, including a lack of information about missing relatives, the chaotic response of the local council and worries over safety in other tower blocks.
Scuffles broke out near the Kensington and Chelsea town hall offices Friday as demonstrators chanting "We want justice!" surged toward the doors.
It tore through all floors of the building and took more than 200 firefighters 24 hours to bring it under control.
The group, most dressed in casual clothes, did not speak to reporters on their way in.
In a television interview, she sidestepped questions over whether she had misread the public mood.More news: Russia coach has comic touch at Confederations Cup
The Head of State released her statement on her official birthday, the day after she visited the survivors and heroes of the Grenfell Tower tragedy accompanied by Prince William.
In a statement issued on her official birthday, the Queen added: "Put to the test, the United Kingdom has been resolute in the face of adversity".
Queen Elizabeth II and Prince Philip, Duke of Edinburgh travel in the royal carriage during the annual Trooping The Colour parade.
The Queen has acknowledged a "very sombre national mood" in a message sent out for her official birthday.
'During recent visits in Manchester and London, I have been profoundly struck by the immediate inclination of people throughout the country to offer comfort and support to those in desperate need'.
Later, hundreds of mourners stood arm in arm at a vigil and held a two-minute silence for victims of the fire.
Saturday's newspapers conveyed the sense of anger. "Prince William shook my hand and said 'thank you.' They both encouraged us, the volunteers, to continue with the work that we are doing".More news: Sarah Sanders: Donald Trump Has 'No Intention' of Firing Robert Mueller
Britain's Queen Elizabeth II, second right, looks at donations made to the members of the community affected by the fire at Grenfell Tower in west London during a visit to the Westway Sports Centre which is providi. She has also ordered 5 million pounds (6.4 million USA dollars) to be given to a relief fund to help victims of the fire.
May's most senior cabinet minister, Damian Green, went onto national radio Saturday to defend the prime minister. Residents have said they believe the number of fatalities could be much higher.
Residents of Whitchurch road watch smoke billowing from an apartement fire in London on June 14, 2017.
Indeed following the Manchester attack, the London Bridge attack and Grenfell Tower fire, the British Royal Family have been meeting with victims and the incredible volunteers, doctors and nurses from all three events.
Metropolitan Police Commander Stuart Cundy later clarified that 30 people had been confirmed dead, while another 28 remain missing and are presumed dead.
Pope Francis sent a message of "heartfelt condolences" in which he invoked God's blessings of "strength and peace" on the local community.
In the fire's aftermath, the London Underground on Saturday suspended subway service between Edgware Road and Hammersmith on two lines at the request of the London Fire Brigade.More news: Belmont Stakes Predictions: Will Irish War Cry Cash? 6/10/17
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