I answered a similar Y2K question already: https://www.reddit.com/r/AskHistorians/comments/abcfl9/why_did_y2k_kill_my_digital_watch_but_nothing_else/
"The end of the world is coming!" level of worry wasn't warranted (however, there was a (low) risk of accidental nuclear warfare).
There was major potential for loss of life (e.g., through disruption of electrical power supply, disruption of medical services, failure of medical equipment), risk of nuclear reactor accidents due to failure of monitoring and safety systems, and risk of air crashes due to failure of air traffic control systems. There was a certainty that there would be financial disruptions and errors (which, if uncorrected, could have lost many people much money). In my opinion, that warrants some worry. Specifically, the kind of worry that translates into fixing such systems beforehand as far as possible, and monitoring their performance at the beginning of 2000 (and not doomsday-prepper worry).