This is a polite apology for causing inconvenience. "ご不便をおかけして" (go-fuben wo okake shite) means "having caused you inconvenience." It's commonly used in various situations, such as when a service is temporarily unavailable, due to a delay, or any circumstance that might trouble someone.

相手に迷惑や不便をかけてしまったことに対し、丁寧に謝罪する言葉です。