Satire as a form of thought provocation by definition treads a very thin line in terms of acceptability.
What satire needs to do is make people think, by putting forward a message in a humorous way, often by taking a difficult situation to such an extreme that it becomes ludicrous, and humorous simultaneously.
The cardinal sin to be avoided by the satirist is that the message is so crude and badly executed, that the message is utterly buried under the fact that the target is missed by a country mile, and all that remains is hurt, anger, and outrage.
That is the situation here - the target is fine, the execution was appalling, and someone in the editorial department of the BBC should have realised the likely outcome, and stopped this from being transmitted.
Some things are too time-sensitive, too close to real events, or too controversial in terms of cultural denigration.
This output has managed to tick all those boxes.
he BBC needs to get it off-air immediately, and a fulsome apology on in in its place.
The editorial personnel who passed it as fit for broadcast should be re-located to positions where they can no longer inflict this kind of damage on a publicly funded broadcaster.