I've honestly never heard of anyone using green tea before, and am curious as to why you were using it. Products like Melafix/Primafix use "Tea extract" but that's about as close as I've heard.
Since I can't offer much insight on the cloudiness, as I don't have much knowledge on green tea in tanks, my best advice would be to follow the peat-moss principal. Given that aquarium use is not it's intended purpose, you need to be extra careful and mindful of additional additives and preservatives. Aim for the all-organic or better yet, organic leaves for steeping. That could be your problem, but again, its just a guess...