The form inbox needs an owner and a clock
An inquiry sent to a shared address that belongs to everybody belongs to nobody.
Web inquiries usually land in an inbox three people can open and no one is accountable for. On a busy morning it gets read at two in the afternoon, by which time the patient has spoken to two other offices.
Name one person per shift who owns responses, and set a stated target measured in minutes during business hours rather than hours. Write it down and check it weekly.
Route the notification somewhere a person actually looks. A copy to a mobile number or a shared channel outperforms an email address that competes with vendor newsletters and lab notifications.
Answer in the channel the patient chose, then follow with a call. Someone who typed a message at nine at night is often not ready to answer an unknown number at nine the next morning.
Track the first response time for a month, then publish it weekly where the team can see it. A team that can watch its own response time tends to defend it.