(Why? Murder is only a 40g fine.... unless she was a guard too... in that case it's something more like 4,000... /sigh at corrupt law enforcement.)
And as you run from the tavern you remember that this is Skyrim. Far more wild than what you're used to, and all the customers of the inn get up and attack you as well...
And then you use your recall spell, and pay off your bounty at the nearest thieves guild bounty paying off guy...
(There can be a recall spell if I want there to be so there >_>....)