Which Projection mode? Which screen is primary? Changing it will have the effect of refreshing the video system. Since you are interested in your second screen you could try Second Screen Only (e.g. press Win-P, End, Enter) but a small wrinkle you would need to deal with then would be a Keep this? prompt which defaults to No. So you would need to do something like press Tab, and Enter (and do it quickly enough that the prompt had not timed out). In case you can't see anything on the second screen right away you could activate Narrator (e.g. press Win+Ctrl+Enter) and get some cues from it.
If you get to Second Screen Only and you see nothing you could try the magic bullet (my mnemonic for) Win+Ctrl+Shift+B. You should be prepared to do it more than once, perhaps wait between retries and also be prepared to see your Display mode change as a result. E.g. bizarrely on that transition I see a portrait representation of windows on all my monitors. (My tablet is oriented in Portrait but it is not primary so why are Landscape monitors being made to look like it is?) Anyway, that is usually enough to get a final Win+P, End, Enter to put up the second screen in the way it was supposed to be working in the first place. YMMV.
Windows 10. Still an Adventure ("Twisty passages, all different.")
FYI
Robert Aldwinckle