Nope, it will do great. Let the water come to temperature before watering though. If it is cold coming off of the condenser, it can shock the plants. I don't know if that water is cold or not.

I use it all the time, works great....it's never cold

I believe a/c water is effectively distilled, so it should have no minerals or metals in it, nothing that would be drawn up into your vegetables. But if you are unsure about metals from the condenser, ask your county extension service or water company where to get a sample tested.

I use my run off all the time. I haven't had any issues.

Use stainless or plastic when containing distilled water. I was amazed to learn a distillery in my neighbors house ate the copper water line. He was corrected by the manufacturer as to the proper piping, which was a white nylon pipe.