I used to routinely work on code that could incur several millions of dollars per hour liability if the code was wrong (or even inoperable). I'm all for continuous delivery BUT you only deliver if your regression tests pass.

If you deliver, your monitoring systems will roll back if problems are detected. I'd strongly recommend you put at least one layer of "controls" between you and production ... agile (to me) is the lack of BDUF ("architect astronaut") but does not advocate "cowboy coding".