I have broken the veneer on my front tooth. It's a clean break and I have the piece in whole. Can I super glue it on? (photos)

Can I super glue the piece of veneer back on to my tooth or is is best to wait and try and see a dentist to see if they can hopefully reattach it without having a new veneer? I still have the broken piece fully intact as it was a clean break. I'm worried to use superglue as it may effect the dentists work... I'm really trying to avoid a new veneer for now!! HELP!