Besieged Cook MP Billy Gordon has headed off the Labor Party's plan to expel him by resigning.
His former leader said now she hopes "he'll do the right thing" and resign from the parliament, even if a resulting by-election loss costs her government.
"I am putting my premiership on the line," she said on Monday morning.
"You tell me anyone else who has done that. Who? Who else has done that? I have fought a general election. [Opposition Leader] Lawrence Springborg didn't face the general election.
"I fought a general election and now yes, I am prepared to put my premiership on the line and that of my government.
"And my ministers are absolutely resolved for this. That we will always stand up for our principles and integrity and accountability, over that of Lawrence Springborg and the Opposition, any day of the week."
But the Opposition has remained critical, claiming Ms Palaszczuk only acted when matters became public.
"What we want is for the Premier to level Queenslanders, because not withstanding Billy Gordon's past criminal history - of which we didn't expect the Premier to know about - she was in possession of information directly from Billy Gordon's former wife about issues of child support, tax returns and also domestic violence, which she'd known about for a number of days and hadn't actually confessed to Parliament about," Mr Springborg told Fairfax Radio 4BC.
"And, I think that's the bigger issue, whilst he may have a character issue, the Premier's really got a credibility issue and she's had three different positions now on three days.
"Firstly she didn't know about it, then she didn't know about 12 days ago, and now it emerges 17 days ago, so the past is one thing, but the current issues are another and I think that's the bigger issue for us is to establish what the Premier knew and why she didn't tell the truth to Parliament on Friday in the very first question she answered."
Ms Palaszczuk said she had no regrets in telling Parliament the "issue had been dealt with" on Friday, ahead of referring domestic violence allegations also contained in the letter, to police.
"I did not know about these other issues until Friday afternoon," she said of Mr Gordon's criminal past.
"We were doing everything possible to encourage the person ... these [issues] were of a deeply personal nature between a man and a woman and the right thing to do there would have been, as we did, for the state secretary to encourage her to go to the police.
"And I am very concerned that these letters went far and wide, they went far and wide, when they are of a deeply personal, and concerning nature."
Ms Palaszczuk said her department received the email from the "hundreds and hundreds" which are sent on March 13 and it came to her chief of staff's attention on the weekend of Cyclone Nathan, either the 18th or 19th.
State Secretary Evan Moorhead was dispatched to speak with the woman and help rectify the situation.
Mr Gordon admitted to the child support and tax claims in parliament on Friday, March 27, after it became public.
LNP MP Tarnya Smith received the email on the 19th.
Mr Springborg said the Opposition "then spoke about how to respond" and replied to the woman on the 23rd, encouraging her to go to the police.
He then raised it publicly, in Parliament, a week later.
Mr Springborg denied he had used the issue to score political points.
"I think most people will believe that it was appropriate that it should be raised in Parliament, given the fact the Premier, the other government ministers and the Opposition had been in receipt of direct contact from the lady, who had suffered in such terrible circumstances," he said.
"And I think the big issue, is of course, why the Premier didn't fess up in Parliament that she knew about all those particular details which a whole range of people did, including the Opposition and the media, and I think that's the big issue here."
But Mr Springborg has been forced to examine his own party after allegations a LNP MP had failed to pay child support were made in Facebook post.
Mr Springborg said "one assumes that the matter has actually been dealt with" as the post has since been deleted.
"I did make some enquiries, and as I understand it, because we go through quite an extensive process with our members, we go through criminal history checks, we go through virtually everything that Labor doesn't ... I assume it's been dealt with because that Facebook post no longer exists."
