4. Qe7
Scholar's mate defense?

Not really.
But if you really hate the position, you have two options:
- play something other than 1...e5
- become better at chess. At higher levels, people don't play 2. Qh5 so much.
@1
"I feel lind of unsatisfied with the position that this leaves me in"
++ Why? This is as good as you can ever get as black.
You have 2 knights into play on their natural squares f6 and c6, where they control the 4 central squares.
You can put a bishop on g7, where it controls central squares e5 and d4.
Then you can castle your king to safety O-O.
Then you can play d6 threatening both Bg4 and Be6.
Meanwhile white has his queen standing on the natural square of Ng1.
"Is there a better way to defend against the 4 move mate?" ++ No, this is the best.

Try the kiddie countergambit.
While the traditional defense is sound, it leads to a boring closed game. Also, play is pretty easy to figure out using opening principles. This is a way sharper game. You lose a pawn, but you have almost completed development while your opponent's queen is in the wrong side of the board.
I recommend 1.e4 c6 the caro kann, If they bring queen to H5 on second move, bring your Knight to f6, attacking the queen
Try the kiddie countergambit. ...
I agree! That's what I'd play, esp. if playing for fun. Keep in mind that it should discombobulate someone playing white who is trying the 4 move checkmate. They may even forget to move their queen once attacked.
Set up the position and play it as black and as white against the computer with level set to your level. Then anaylze the game. You'll see pretty soon how to play black and that white's position is very hard to play.
The point is to have fun of course! and that seems like the most fun to play for black. -Bill

This is the start of half the games I play as black, and I feel lind of unsatisfied with the position that this leaves me in. Is there a better way to defend against the 4 move mate?

This is the start of half the games I play as black, and I feel lind of unsatisfied with the position that this leaves me in. Is there a better way to defend against the 4 move mate?
i don't think it makes sense to 1) also bring your queen out in the first 10 moves and 2) offer a queen trade on move 6
sure you could say after 9. Qxg6, hxg6 and black has the open h file, but white can just queenside castle and it's kinda useless for black

Try the kiddie countergambit.
While the traditional defense is sound, it leads to a boring closed game. Also, play is pretty easy to figure out using opening principles. This is a way sharper game. You lose a pawn, but you have almost completed development while your opponent's queen is in the wrong side of the board.
You sound like your trying to promote a product.
The kiddie contergambit simply just loses a pawn without much developmental compensation.
the mainline also has development.
-Nc6 is used to develop the knight and protect pawn.
-g6 is giving way to devlop the bishop to g6
-nf6 develops AND defends mate
even better, your not down a pawn.
This is the start of half the games I play as black, and I feel lind of unsatisfied with the position that this leaves me in. Is there a better way to defend against the 4 move mate?