I think that Rudy was already sued
https://lawandcrime.com/2020-election/rudy-giuliani-still-on-the-hook-as-oan-formally-settles-georgia-election-workers-defamation-case-on-fair-and-reasonable-terms/
A federal judge on Wednesday agreed to dismiss a lawsuit filed by two Georgia election workers against the company which owns the One America News (OAN) Network, several of the networks executives, and correspondent Chanel Rion. The judge, however, agreed to keep the case alive against one defendant: Rudy Giuliani.
The dismissal with prejudice was not a surprise, as it was directly requested by the plaintiffs and agreed to by the defendants pursuant to a settlement agreement that has been in the works for weeks. A status report dated April 21 said that the parties held a successful one-day mediation on April 19, 2022 and on that date agreed upon and signed a binding set of settlement terms.
The complete paperwork was drawn up and signed in a predictable fashion shortly thereafter.
Plaintiffs and the OAN Defendants have entered into a settlement agreement (Settlement Agreement) to resolve Plaintiffs claims against the OAN Defendants, according to a subsequent filing dated Tues., May 10. Pursuant to the Settlement Agreement, Plaintiffs wish to dismiss, with prejudice, the OAN Defendants from the above captioned litigation, with each of Plaintiffs and the OAN Defendants to bear their own costs and expenses, including attorneys fees.
The May 10 filing makes clear that Giuliani is not a party to the Settlement Agreement, and Plaintiffs wish to continue prosecuting their claims against Defendant Giuliani.