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I disagree with the above suggestions. 2. ... Nf6 is bad because it allows 3. Qxe5.
I would play 2. ... Nc6 to defend the e-pawn. 2. ... Qe7 is another alternative. This is really a simple case of your opponent attacked a piece and you have to defend it.
This is the preamble to Scholar's Mate. Black wants to bring his bishop to c4 and threaten mate at f7. The trap he's hoping for is that you attack his queen with 2... Nf6, after which, he'll play 3. Qxe5+. You have two logical options that protect this pawn: 2...Qe7 and 2....Nc6. Both are playable, but most people seem to prefer 2....Nc6.
Since 2...Nc6 protects rather than attacks, white still has the initiative and will play his hand with 3. Bc4, threatening mate. Black still can't attack the queen, but must defend against mate with 3....g6. After which, white will continue threatening mate at f7 with 4. Qf3. But White's threats are over. Black simply plays 4...Nf6. White can try to continue with threats by moving 5. Qb3 (after which 5...Nd4 puts a stop to everything. - if 6. Bxf7+, then 6....Ke7, attacking both the Queen and the Bishop, one of which must come off the board)
These games often go something like this:
3.c5, excuse that my brain slipped.
"I believe I seen your example in Yasser Seirawan's winning chess series"
I did learn this refutation from one of Seirawan's books. There are a good many ways to refute (really, just geting a major advantage) an early Queen raid, unless the player is particularly good. This one is especially instructive, I thought, since it showed that the King could move with impunity, that threats of check were paper tigers and that the White Queen could end up more of a target than the Black King and because White ignored some basic principles, Black had a lot of leeway himself.
"At times I play 2.Qf6"
Shrug.....It might be a matter of temperment, but I worry that in bringing out my own Queen too early, I risk a lot for little gain. I'd rather develop my minor pieces, especially with tempo. Minor pieces can control a lot of squares.
The continuation you know is good, I’ve used it at some point. To me its just a weird rookie open with the strongest piece white has to chuck at his disposal. Some times I play Nf6 let him take the pawn then Be2 so I’ll still be able to castle. You can usually make the pawn up that you lost somewhere in the mid game.