Again I didn't save my game, so I'll have to go by memory. The queen is a wonderful piece, but her power is ultimately her downfall. What you could have done was harass her, since I'd sort of been forced to bring her out too early once again. When the board is full, her abilities are not as notable. That is when she is weakest. As pieces are removed from the board, she grows in strength. Therefore you had two options: develop your pieces while simultaneously forcing me to move her (thus not developing my own pieces); exchange queens while we were even or you were in the lead. Now you obviously didn't have the chance to exchange while in the lead because I evened things out when I took your g2 pawn, but as our queens were facing each other for a while, it might have been wise to trade, especially since you still had that vulnerable rook hemmed in by your knight in the same corner and you couldn't move your queen without exposing that g2 square, and thus your rook, to my queen once again. But really, the biggest error you made was your queenside castle. It's easy to overlook, but a common tactic is the skewer, wherein I attack a valuable piece, and when it moves, it exposes another less valuable piece behind it to attack. You lined your rook right up with your queen while I had a bishop available to attack that diagonal whilst defended by my queen. Pay attention to paths in the ranks, files, and diagonals, as skewers and pins are my stronger tactics (in that I see the potential for them more readily than other tactics). If you line your pieces up, make sure I can't exploit it.
And for what it's worth, the pawns on b2, b7, g2, and g7 are a weak spot along the diagonal. Once the bishop is moved, the pawn is undefended, and if the knight remains in place, the rook is stuck. You did well moving your queen to f8 to prevent the loss of your rook.
And look at that! I did save the game after all! Sorry. Well, I guess I got it all right. But one thing I notice also is wasted moves. You moved your queen from f3 to g3, then back to f3. When you first moved to g3, I thought you were going to force an exchange, which I didn't want but was ready to accept. But then you didn't, and moved back. You probably didn't need to move it in the first place, and I'm really not clear why you moved it to g3 in the first place. Every move should be maximized when possible, especially in the early game. You gave me two more moves to place my pieces where I wanted them, so that even though I hadn't yet castled, I was pretty secure in my little fortress.
Hope this helps. Let me know your thoughts, or if you have any questions or critiques of my analysis.