From bastard + -dom.
bastard-dom (uncountable)
- (rare) The condition, quality, or realm of a bastard; bastards collectively
1963, Lawrence Edwards, Gravel in My Shoe:There are so many eligible fathers in bastarddom.
1969, Jack Loudan, O rare Amanda!: the life of Amanda McKittrick Ros - Page 138:It has been untenanted since the death of Lord Raspberry's aunt, "Lady Dolly Dray, the novelist, whose fat resources were built from the scurrilous, scandalising spiteful scions of bastarddom always found trampling on the heels of fame".
2014, Bea Longworth, In Too Deep:'That is new a level of bastard-dom.
2014, Dave Thompson, South Park FAQ:You knew, before they'd even done anything, that these kids were trouble. Or, as Parker told the National Post in 1998, “Third grade is really the time when you are at your peak of bastard-dom. That's where the gold mine is.”
2015, Peter J Larrivee, Revenant:Now you wanna go off all half-cocked and take on one of the most powerful bastards in all of bastard-dom?