Don't Install If Your Situation is Fluid or You're Traveling
If you're hunkered down at home trying to weather the Coronavirus, if you're a first responder that uses your phone, or if you are you unable to spend time on the phone with Apple if something goes wrong after the update, you should wait to install this update until a later date.
There's a good chance iOS 13.5.1 works fine on your phone, but it takes a while to install the update and there is a chance something could go wrong.
The last thing you want to deal with right now is waiting an hour for an update to install, finding help with Apple Stores closed, or dealing with apps or services that aren't working.
If any of these things concern you, you might want to hold off until we know more about iOS 13.5.1.
If you are preparing to go on a trip or if you're in the middle of a trip, you might want to hold off on the installation.
iOS 13.5.1 has the potential to cause problems and that's probably the last thing you want to be dealing with on a fun trip with your family or on an important business trip.
If you're going to be away from home and away from your backups, we highly recommend waiting until you're back before trying out the beta.