RE: How Bad Did This Hurt?
You didn't hurt your bow at all. The minimum arrow weights are for prolonged shooting. You still had plenty of weight on your string to soak up the energy. And if you have limb savers and a stabilizer it would be even better yet. I would not suggest shooting an arrow this light all the time, but every now and then will not do anything dentrimental to it. I think this is mistake most of us have made. At least those of us that shoot a lot and like to tinker with things.
I cut my harness once and my bow exploded at full draw. It has also been dry fired twice by accident. No damage at all. I took the bow into the shop and had them go competely through it, they found nothing wrong. I do however have a lot of simms products on my bow, and I shoot a short draw length and low poundage.
Your bow should be fine.
Paul