Refused to apply inline style because it violates the following Content Security Policy directive

You can also relax your CSP for styles by adding style-src 'self' 'unsafe-inline';

"content_security_policy": "default-src 'self' style-src 'self' 'unsafe-inline';" 

This will allow you to keep using inline style in your extension.

Important note

As others have pointed out, this is not recommended, and you should put all your CSS in a dedicated file. See the OWASP explanation on why CSS can be a vector for attacks (kudos to @ KayakinKoder for the link).