Senior executive/boss of around one gazillion people here:
- No, you'd never get that email from me! As PP have stated, it's unprofessional (and, even if that is not what was meant - see below - I wouldn't put it in an email).
- Bosses are only human, too, and intent matters! While, see above, I would not put this in an email, just like everyone else, I do have my moments and I do sometimes vent!
You state that the fuckup is not your responsibility - any chance your boss is just at the end of their tether, is not actually blaming you, but is using you to air their frustration at a "neutral" party?
While I'd never do this in writing, I'll freely admit to having vented to uninvolved managers as well as my peers and bosses - not naming names - about "fuck my life, I'm the empress of Idiot Empire here, it seems!" Or similar. Never in writing, never to someone on the team, but over a drink when I was about to lose my shit over something.
It's a "self-management; blow off steam" technique. Better tell an uninvolved party or, if needs must, your dad who's in construction and has no idea what your on about, what an insufferable moron everyone is before you tell them that in those words!
Since you're saying it's not on you, OP, any chance this may be happening?
If so: still a stupid AF idea to do it via email!
If not: what PP have said: inappropriate and unprofessional!