Mr Slipper, who is married, earlier apologised for the content of the text messages.
BBC: Australia: Speaker Peter Slipper quits amid sex scandal
Mr Slipper defected from opposition leader Tony Abbot's Liberal Party last year, becoming an independent.
BBC: Australia: Speaker Peter Slipper quits amid sex scandal
Domestically, the reaction was mixed, with many upset over her support of Mr Slipper.
She asked Mr Slipper to stand aside as Speaker until the allegations were resolved.
The Lady's Slipper orchid was rescued from extinction by scientists and is strictly protected by wildlife laws.
BBC: Lady's Slipper rare orchid to have Chelsea show security
It will need support from five of seven non-aligned parliamentarians, who now include Mr Slipper, to survive.
His resignation now means Ms Gillard is dependent on Mr Slipper as an independent to help pass legislation.
BBC: Australia: Speaker Peter Slipper quits amid sex scandal
Last month James Ashby, a former staff member of Mr Slipper's, accused him of abusing taxpayer-funded taxi vouchers.
But even Arizona will have a tough time pulling off the glass slipper.
However, conservative critics suggest the Clinton Administration's approach may put tobacco on the slipper slope towards a new Prohibition.
The move deprived the opposition of a parliamentary vote, but Mr Slipper had fallen out with his old colleagues.
Mr Slipper, who is married, said he felt "vindicated" after going through "an extremely traumatic time" with his family.
BBC: Australian court rejects sex case against former Speaker
He also lodged a civil-court claim against Mr Slipper for alleged sexual harassment.
The exchange followed the resignation of Speaker Peter Slipper, who was accused of sexual harassment by a former staff member.
Mr Ashby had provided lurid text messages from Mr Slipper, who officially resigned in October, as part of his lawsuit.
BBC: Australian court rejects sex case against former Speaker
Mr Slipper stepped aside from his post in April amid the claims by Mr Ashby, a former parliamentary staff member.
BBC: Australian court rejects sex case against former Speaker
Australia's parliament Speaker Peter Slipper has resigned amid a continuing sex scandal, dealing a blow to Prime Minister Julia Gillard's government.
BBC: Australia: Speaker Peter Slipper quits amid sex scandal
And it's been a while since we pictured ourselves as the prince looking for the foot to fit the glass slipper.
Mrs Ege is accused of hitting and punching Yaseen and punishing him using a hammer, a rolling pin and a slipper.
Late last year she appointed Mr Slipper, a former Liberal, as speaker.
Mr Slipper is accused of sexual harassment by a former staff member, and of sending lurid text messages, now revealed in court documents.
BBC: Australia: Speaker Peter Slipper quits amid sex scandal
The move by Mr Slipper, a former opposition lawmaker, into the Speaker's post had helped secure Prime Minister Julia Gillard's wafer-thin parliamentary majority.
BBC: Australian court rejects sex case against former Speaker
The case filed by his colleague, James Ashby, was a "political attack", the court ruled, ordering Mr Ashby to pay Mr Slipper's fees.
BBC: Australian court rejects sex case against former Speaker
An Australian court has rejected a sexual harassment case filed against former Speaker of Parliament Peter Slipper, who had been forced to resign.
BBC: Australian court rejects sex case against former Speaker
Bending down to change back into his shoes, Wolfowitz removed a slipper, revealing a large hole in the toe of one gray wool sock.
This time, there's no glass slipper, no perfection on the line.
But the prime minister had not bargained for the political storms that have burst around Peter Slipper, the speaker, and Craig Thomson, an ex-Labor figure.
Quinn is patron of the Glass Slipper Appeal, which raises money for hospitals in the Sunderland area, in an effort to help their fight against breast cancer.
Once the music begins, however, I work alone, even if the room is so crowded that my neighbor's pink slipper on the barre is nudging my hand.
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