The prosecutor's 'objection' was sustained. [=the judge agreed that the prosecutor was right to object]
She doesn't have any 'objection to' going. = She's made no 'objection to' going.
People have raised/voiced a number of 'objections to' the proposed changes.
(..) - Sure, that's another way to go. Penny, Penny! Just to clarify, because there will be a discussion when you leave, is your objection solely to our presence in the apartment while you were sleeping, or do you also object to the imposition of a new organizational paradigm. (..)2007 TvShow: The Big Bang Theory Title: The Big Bran Hypothesis Season: 1 Episode 2