I only use my screens when turkey hunting, and even then I leave them out of my shooting windows. Like said most important is wearing black and staying in a back corner or wall.
Another thing to check into is if you can buy the replacement screen for the model blind your useing and cost. Might be cheep enough to go ahead n buy the spare set or you might find you can't get them and not want to tear up what ya got.
If it were me I would only shoot through a screened window if I just had no othe option and the animal just was t going to work over to a non screen window.