1 day after Kybella, one side of my face is having a reaction to the injection. It's traveling up my face. Should I be worried?

I recommend following up with your Doctor to rule out an allergy and to provide after care recommendations. Best, Dr. Emer

Based on the photos it almost looks like an allergic reaction, infection is less likely, too superficially injecting the product can be a possibility. You need an evaluation by your physician as soon as possible to determine the cause of your skin changes and to start treatment if necessary. 

This is not a common reaction to Kybella. I recommend calling your injector and following up. The times we see irritation in our practice is from patients over using ice and irritating the skin.  The other concern would be that the Kybella was not injected deep enough. Best of luck! 

Please go back to your injector for an exam to evaluate if this is just a superficial reaction in your skin or deeper.  It is hard to determine by pictures what the cause is .  
Dr.Banta