"People have given money to the Kensington appeal in the expectation that that would be used rapidly to give direct help", she said, adding: "To hear that people are being given just £10 - I am just appalled to hear that".
Around 800 people gathered outside Prime Minister Theresa May's residence at Downing Street to protest against the United Kingdom government's handling of the disaster, said Joey Ayoub, a journalist and activist who joined others at Number 10.
A representative of the families who met with May and spoke to reporters briefly after leaving 10th Downing Street said "we will be making this in the community, with the community".
Mrs May pledged £5m of support, housing guarantees and help with access to bank accounts and cash.
He added: "One of the things that we must do is support those families who've lost their homes, what we must do is make sure we help those who're grieving, we must make sure we learn the lessons, we must make sure it's not so hard for people who need help, to find help".
London Mayor Sadiq Khan said Sunday after attending a church service several blocks from the tower that the fatal blaze was entirely preventable.
Rajasthan civic officials allegedly thrash man to death
He tweeted, "The CM of Rajasthan seems to have already reached a conclusion even before an inquiry that Zafar Khan was not murdered".
She said earlier that the national mood is sombre but that Britain is resolute in the face of adversity.
"People raised these concerns, people were expressing issues regarding the safety and unsafe living conditions", says Lancaster West Residents Association chairwoman Olesea Matcovschi.
He said: "Little can compare in recent times to a tragedy on this scale - the response from the local authority has simply not been good enough".
Community groups have said warnings about poor fire safety have been ignored, and in the aftermath of the disaster, officials have failed to take care of those affected, they said.
In a television interview, the Prime Minister said the fire was "absolutely horrifying" and had been a "terrifying experience" for those affected.
Opponents said May's handling of the fire has thrust her position further into doubt by showing a failure to feel the public mood and act decisively.
Britain is now likely to go into arduous talks on Monday about its exit from the European Union with a weakened leader who is dependent on a small Northern Irish party. There was a very clear sense of outrage that this is not ok.
That is despite charitable donations exceeding £3million, and the Prime Minister pledging £5million through an emergency fund.