ICRC criticism
The ICRC said the wounded had to be transported about a kilometre on a hand-pulled donkey cart because large earth walls erected by the Israeli army had made it impossible to bring ambulances into the neighbourhood.
Katarina Ritz, the ICRC's head of mission in Jerusalem, said experienced Palestinian emergency workers wept at the scenes they were confronted with.
She said Israeli troops were within about 100m of the houses in question, and that the ICRC believes the soldiers "must have been aware" of the presence of the wounded people, because of repeated requests from aid agencies for access.
Under international law, she said, even if there are security concerns meaning the injured cannot be evacuated, "the minimum is to treat these people, to feed these people, give them water, and keep them in a safe place".
The Israeli military said it was investigating the case. It said it is "engaged in a battle with the Hamas terrorist organisation that has deliberately used Palestinian civilians as human shields".
And it stressed it works in "close co-operation with international aid organisations during the fighting, so that civilians can be provided with assistance".
'Difficult' co-operation
Earlier in the week, an ICRC spokeswoman told the BBC attempts to co-ordinate safe passage for ambulances were so slow that people were dying as they waited.
Not all ambulance drivers in Gaza have been waiting for co-ordination with the Israeli military, and health officials in Gaza say 10 paramedics have been killed trying to rescue the wounded since the Israeli operation began.
Israeli Defence Ministry Spokesman Peter Lerner said that co-ordinating the movements of ambulances has been "extremely difficult because of heavy gunfire".
He said that even during the three-hour lull Israel declared to allow humanitarian operations, Hamas militants continued to shoot at Israeli forces.
Outside the hospital, as Fatima Shamouny told her story, dozens of people gathered as Thursday's ICRC-led convoy of ambulances prepared to leave.
They came with addresses where they believed injured people were trapped.
One man's hands shook so much with fear that he had to ask for help writing the directions down.
Finally, the convoy received clearance, and drove away.
It was headed back to Zeitoun, where the ICRC said there were reports of more injured people stranded, and another area in northern Gaza, which ICRC workers had not even reached yet.