I’m not a nurse but I do work in a hospital (Tele Tech). Feeling left out, especially around the people you spend time with almost every day, sucks – I’ve been there.
Are there any staff events you can go to? I don’t know about outpatient places, but most hospitals I’ve worked at have always had charity walks, blood drives, holiday parties, ect. Also there are some events we need volunteers to help run (job fairs, free BP checks at community events, hospital tours for new grads/new employees). Those can be pretty fun too. Who knows? Maybe connecting with your coworkers outside their normal roles will help open a door.
If your facility doesn’t have anything like that at the moment, you could talk to HR and help organize something or just invite people out on your own too.