I don't think Trump would dare to sue Murdoch. Trump will keep his dirty secrets until the end of the universe! lol.

The relationship between Donald Trump and Jeffrey Epstein was a
complex and ultimately contentious friendship that spanned from at least the late 1980s through the early 2000s.
The two moved in similar wealthy social circles in New York and Florida, frequently socializing and attending parties together.
Key aspects of their friendship down below :
Early friendship and socializing: Trump and Epstein were seen together at numerous social events in the 1990s and early 2000s, including Trump’s Mar-a-Lago estate and Epstein’s Manhattan mansion. Archival footage from 1992 shows them at Mar-a-Lago interacting and pointing out women on the dance floor, indicating a shared social lifestyle centered around attractive young women15.
Public comments: In a 2002 interview with New York Magazine, Trump described Epstein as a “terrific guy” he had known for about 15 years, adding that Epstein “likes beautiful women as much as I do” and “many of them are on the younger side”56.
Birthday card and secretive messages: A recently surfaced “bawdy” birthday card from 2003, reportedly signed by Trump inside a compilation presented to Epstein, contains a crude drawing and a message implying a shared closeness and secretive bond ("may every day be another wonderful secret"). Trump has denied authoring the letter and called it fake, threatening legal action against the Wall Street Journal, which published the report36.
Epstein’s claims: Epstein claimed in recorded interviews that he was Trump’s “closest friend” for a decade and alleged that Trump’s first encounter with Melania was on Epstein’s private plane, the "Lolita Express." Trump’s team has denied these assertions and dismissed them as false smears26.
Souring of friendship: Their friendship reportedly ended acrimoniously around 2004 after a high-profile dispute over a Palm Beach mansion both sought to purchase. This falling-out coincided with increasing public scrutiny of Epstein’s criminal activities, though Trump himself was not publicly accused of involvement in Epstein’s sex trafficking crimes6.
Legal and public scrutiny: While Epstein was convicted of sex crimes and died in prison awaiting trial in 2019, Trump has avoided direct legal allegations linked to Epstein. Trump’s past statements and associations, however, have brought ongoing public and political pressure, especially as calls mount for the release of more Epstein-related investigation files, which Trump initially pledged but then resisted156.
Nature of relationship: Overall, the relationship appears to have been a social and business acquaintance that involved partying, shared interests in women, and some degree of personal closeness, but it ended before Epstein’s arrest and subsequent death. The exact extent of Trump’s knowledge of Epstein’s crimes remains a subject of dispute and investigation.
In sum, Donald Trump’s relationship with Jeffrey Epstein was a friendship marked by social camaraderie and mutual interests in nightlife and women in the 1990s and early 2000s, which deteriorated amid Epstein’s rising criminal infamy. Despite allegations and insinuations from Epstein himself, Trump publicly denies wrongdoing or improper involvement12356.
sources:
1.
All we know about Donald Trump and Jeffrey Epstein's 'friendship'
2.
https://docs.house.gov/meetings/JU/JU08/20250227/117951/HHRG-119-JU08-20250227-SD006-U6.pdf
3.
How well did Trump and Epstein really know each other? A timeline
4.
5.
Trump and Epstein: the history of their messy friendship
6.
The new revelation about Trump and Jeffrey Epstein, explained
7.
A detailed look at the relationship between Trump and Jeffrey Epstein
8.
https://www.nytimes.com/2025/07/17/us/politics/timeline-trump-epstein.html
9.
A Timeline of Trump and Epstein’s Relationship