Preferable was 2.Rxe5 Bd6 3.Re2, followed by Qf3, keeping the queens on the board.
Preparing 2 Bxf5 and 3 Bd4 in order to exchange as many pieces as possible, considering the opponent's isolated pawn.
2...Qxf5 3.Nd4 Bxd4 4.Bxd4 White is also slightly better, thanks to his active bishop and Black's isolated pawn.
Intending Qd2 and Rd1 in order to work on the d5-pawn, thanks to which White keeps a small but enduring advantage.
Preparing ...Ba6 in order to exchange the "bad" bishop for White's "good" one.