WASHINGTON — Hillary Rodham Clinton’s family foundation, already the subject of intense scrutiny in the early days of her White House campaign, faces an uncertain future if she is elected president.

Among the unresolved questions: Who would be able to raise money for the Clinton Foundation? Could it begin new projects, both at home and overseas? Is there any way it could operate unburdened by conflicts of interest, real or perceived, while one of its founders sits in the Oval Office?

“I’m not sure the rules have been invented to apply to this situation,” said Diana Aviv, president of Independent Sector, a network of nonprofits, foundations and corporate giving programs.

While Clinton stepped down from the foundation’s board after launching her 2016 campaign, husband Bill and daughter Chelsea still hold leadership roles. They currently have no plans to stop their fundraising and management activities during the campaign, nor is there a blueprint for their involvement if Hillary Clinton wins the election, people close to the foundation said.

Options being considered include Chelsea Clinton taking the helm, with her father playing a more behind-the-scenes role; fully banning the acceptance of donations from abroad; and implementing a more rigorous vetting process for domestic donors.