Simple and interesting. A bit lacking in the audio visual, but did do the job on setting an weird mood, I don't know why, but the aesthetic made me think about petscope, the concept of catching creatures, the eyes and the sfx.
At first I was trying to click with the mouse and that did nothing, but I quickly tried the arrows and thought it was not working because I was looking at the creature instead of at the net. Starting with the net in the upper left corner might solve this, because that is usually the natural reading order for most players.
On the responsiveness bit, sometimes my input was 'eaten' because the creature was still moving. An input buffer would solve that, also you could make the net grayed out while the player can't move, so at least this state is clearly communicated