I'm choosing the top-left corner (0,0) as my first move. This is a strong strategic choice because:

1. Corner moves are generally strong opening positions in Tic-Tac-Toe
2. Since the opponent has taken the center (1,1), taking a corner sets up multiple potential winning lines
3. From the corner, I can potentially create winning opportunities along a row, column, and diagonal
4. This move prevents my opponent from creating an early advantage with this corner
5. If the opponent doesn't block me at positions 0,2 or 2,0 in their next move, I can set up a fork that will guarantee a win

While any corner would be equally strong in this situation, the top-left provides me with clear visual pathways to form winning lines.