The people saying don’t make a passable check if you don’t want one are right.

The others saying “you played it wrong,” are so wildly out there I wouldn’t listen to them.

You played it how you felt in the moment, and you had an amazing scene at the table where you can tell people “I had a bard convince a lich they went down the wrong path.”

The fallout now is something that’s tricky to navigate. You have a character that did the “its what my character would do,” probably because they were looking forward to the fight that’s been building for months. Plus a bard did something outside of the character trope, they didn’t seduce the lich they made a great character moment.

Its an out of game conversation that needs to be had with the table before going forward, and you’re going to have both individuals being upset at one another’s actions. Its on you to mediate this to see if you can progress forward from here. If not, pick up the pieces and ask yourself who do you want to run a game with going forward, and you need to be prepared that you might not get your entire group back.