A Hamas official immediately rejected the comments as "blatant interference" in Palestinian affairs, but did not say directly whether the group planned to comply with any of the demands.
They may not be able to leave Gaza without Israeli or Egyptian permission, but their photos can.
Rival Palestinian factions Hamas and Fatah have reached agreement on aspects of their bid to end a decade-long split during talks mediated by Egypt in Cairo, officials said on Thursday.
Negotiators from rival Palestinian factions Fatah and Hamas will discuss security in the Gaza Strip at unity talks in Cairo on Tuesday, including a proposal that would see Fatah security personnel deployed to Hamas-dominated territory.
The women, many of them dressed in white, descended through the arid hills leading to the river, where they erected a "peace tent".
Hamas agreed to hand over power to a unity government last month and Rami Hamdallah's visit, the first since 2015, saw his ministers take control of ministries in Gaza.
The Palestinian cabinet met in Gaza on Tuesday for the first time since 2014 in a further step towards the internationally recognised Palestinian Authority (PA) retaking control of the territory.
Palestinian prime minister Rami Hamdallah will travel to Gaza on October 2 as part of a fresh push to end a decade-long split between Fatah and Hamas, which runs the enclave, his government said Monday.
The visit follows concessions by Hamas after discussions with Egypt, which has urged it to take steps towards reconciliation with Palestinian President Mahmud Abbas's Fatah, based in the occupied West Bank.
The Shamasneh family has for years been fighting a court battle against Jewish claimants who said that the building was their family property.