1. e4 e5 2. d4 exd4 3. c3 Qe7!?

Does Qe7 prepare a check on b5? Maybe win b2?

Oh, and I think it attacks and pins the e pawn, more importantly. A move like d5 would probably just win it

Hmm okay, Qe2 and it's very equal. Which is fine for black.

I think if black were to fight for the e-pawn, they might get an advantage.

Either way, white doesn't get her big attacking chances in the Danish like she'd like to. Black counterattacks too fast and kinda breaks it down.

What does stockfish say to do after Qe7?

I dunno. bro told me computers were evil, so I don't trust stockfish

Stockfish suggests this line:
1. e4 e5 2. d4 exd4 3. c3 Qe7 4. cxd4 Qxe4+
5. Be3 Bb4+ 6. Nc3 Nf6 7. Nf3 Nd5 8. Qd2 Nxe3
9. fxe3 Qe7 10. Bd3 d5 11. O-O Nd7 12. Qc2 Nf6
13. Ne5 Bxc3 14. bxc3 O-O

I tried to analyze as far as I could on each move (up to depth 20, before I lost patience)...

Evaluation after move 14: -0.5

To be honest I think stockfish just makes questionable moves at times when you let it play itself.

@TGBM95 I mean... no computer is perfect, but seeing that stockfish can easily beat Carlsen at any time (or for that matter, any human), that's probably our best choice...