Target doesn't even accept coupons printed from the Target website. Explain that to me!

That's because someone committed fraud with one of their coupons. I think it for $5.00 off a $25.00 or $50.00 toy purchase. They altered it to say $5.00 off any toy purchase. It's suggested that you print out the whole coupon page and not cut them out until you're at the cashier. This way the page proves the location on the internet as Target's own site that the coupons originated from.
Whenever you have a retailer that won't accept printed coupons, contact the coupon vendor such as SmartSource, RedPlum, etc., supplying them with the name, address, and telephone number of the retailer so that they can contact them and try and sway them into accepting them.