Rekla bih da se pod "health and well" misli na "health and wellbeing":
"Welcome to connect2, the online resource booking systems for the Health & Wellbeing department. We have a variety of one-to-one appointments..."
https://healthandwellbeingbookings.coventry.ac.uk/

Jedan od on-line primera za prevod "health and wellbeing" je "zdravlje i dobrobit":
"EU Joint Action Mental Health and Wellbeing"/"EU Zajednička akcija za mentalno zdravlje i dobrobit"
https://zdravlje.gov.hr/UserDocsImages//2018 Programi i proj...

Prevod za pojam "medical appointment" iz on-line rečnika (pošto ipak mislim da se ove radi o "liječničkom pregledu":
"I've scheduled your medical appointments"/"Ja sam na rasporedu vašeg lekarskog pregleda"
https://glosbe.com/en/sr/medical appointment