If the speaker resigns the deputy acts in their place until a vote is put to the House.
So there is no long term problem to the Libs.
Australian Constitution - Section 35 - Election of Speaker The House of Representatives shall, before proceeding to the despatch of any other business, choose a member to be the Speaker of the House, and as often as the office of Speaker becomes vacant the House shall again choose a member to be the Speaker.
The Speaker shall cease to hold his office if he ceases to be a member. He may be removed from office by a vote of the House, or he may resign his office or his seat by writing addressed to the Governor-General.
