I would think the fabric wouldn't bleed anymore now it has been washed.
I don't know the answer to the question of the threads but I recently forgot some baby clothes in my washer overnight. It had a red plaid shirt that got red color on the other clothing. I soaked them altogether, even the red plaid , because the white color in the plaid was pink, in OxiClean. It all came out and all that was suppose to be white is white again. Good luck!
Thanks! I have OxiClean and will give it a try on the towel.