Kallos, who was one of several politicians to create the Eastside Taskforce for Homeless Outreach and Services (ETHOS) last year, said that until the woman is proven to be a harm to herself or others, he can't do anything about her.

"She's been brought to the hospital on numerous occasions and assessed by a psychiatrist," he told DNAinfo New York on Tuesday. "If anyone has been spat on, touched without consent, chased, or threatened, I will go with them personally to the 19th Precinct to swear out a complaint so that the city has additional resources to help her."

Kallos said he's successfully helped connect homeless New Yorkers with services in the past, and even sat down with the Department of Homeless Services last October to go through a list of local homeless people one by one to see what kind of services they needed. 

"We've had success in some places, but there are some folks we haven't seen recently because people have accepted help, or found help on their own," he said. "The worst case is that they just disappear and we don't know what happened to them."

Kallos noted that the Upper East Side is very dense, so when there is one person singing or screaming, it's bound to impact thousands of people and amplify the the problem.

"We have been putting immense pressure on this administration to address the homeless concerns in this community and we have asked them to use every tool [they have]," he said.