She had previously faced scrutiny about her understanding of English law, long periods of leave and her generous pay.
Goddard has said she resigned to enable the British Government to revisit what she saw as the unworkable framework of the inquiry set up to examine allegations of child abuse across public and private institutions.
Downing Street has revealed Prime Minister Theresa May was aware of "tensions" between Goddard and the panel of the child sexual abuse inquiry "some weeks before" an official complaint was made. May was Home Secretary when Goddard was appointed.
Britain's Home Office had previously said it was only informed of concerns about Goddard when they were formally made on July 29 - six days before she resigned.
Home Secretary Amber Rudd, replying to questions in the House of Commons, said she had asked the former high court judge to appear in front of the Home Affairs Select Committee to answer questions about her departure.