Nationals deputy leader Bridget McKenzie was effusive when asked about the leader's future.
Asked what she had to say to the women in the party, she said: "Look, there is an unease I think for all of us, looking at this as a woman".
However, Mr Joyce does have crucial support from other Nationals MPs such as George Christensen and David Littleproud.
"I'm over in Kuwait (this week) with back-to-back meetings from very early in the morning to late at night and focusing on Australia's military intervention and humanitarian contribution to Iraq so it's not a matter that I'm focusing on", she told ABC radio on Wednesday.
Some Nationals MPs have also spoken out against Mr Joyce, questioning the handling of his marriage breakdown and new relationship.More news: UK's first budget flight to South America leaves Gatwick
Nationals president Larry Anthony, the party's most senior bureaucrat and a former legislator, arrived at Parliament House yesterday telling reporters he was helping lawmakers deal with "a very hard time".
Today saw the Tele publish a front-page story about uncertainty in the Nationals that was mostly a flimsy excuse to post a picture of what appears to be Joyce eyeing up now-partner Vikki Campion in a skirt.
Mr Joyce denied breaching the ministerial code of conduct, which says frontbenchers can not employ close relatives or partners or get them work in other ministerial offices "without the prime minister's express approval".
However, she said her understanding was the usual arrangements would apply next week.
Mr Joyce's personal life should be a consideration, she said.More news: Saakashvili wants to settle in the Netherlands
"I don't think the party will move on him but the party will probably talk to him and discuss the future of Barnaby and the future of the National Party".
Some Liberals have been unhappy at the prospect of Joyce being acting prime minister when Turnbull visits the U.S., believing he will be pursued by the media, creating more bad publicity.
Nationals lawmaker Ken O'Dowd said he expected a party delegation would confront Joyce soon to consider his position.
Labor however is continuing to put pressure on the Deputy PM, today announcing they will demand the production of documents that detail any "special goal flights" and worldwide trips taken by Mr Joyce and Ms Campion in 2017.
Joyce is to become Australia's acting Prime Minister next week when Turnbull travels to the United States.More news: Microsoft might not fix Skype vulnerability in the immediate future
While Ms Landry is strongly defending Mr Joyce to stay on as leader, she indicated he might not be acting Prime Minister next week. "As far as I'm concerned, everything is above board with the offices and he's there to stay".