Ok so entropy cannot be destroyed, right? So let's say you have a reaction that decreases entropy (s<0) but it also is exothermic (h<0) and that overpowers the entropy decrease so it is spontaneous (ie h-ts=g<0). If that happens, where does the entropy go?
If that is a closed system, then you have just described a net increase in entropy. Possibly it is the imprecise use of words that is confusing you - or you are pulling my leg. Redo the description, and describe it more carefully.
"destroyed" is an odd term to use here: entropy is energy. It doesn't get destroyed, it gets counted. And I don't think it is possible for a negative entropy reaction to be exothermic. Do you have any examples?
If I put glass of water into the fridge it will "spontaneously" freeze. This process is both exothermic and has a decreasing entropy. But it so blatantly obvious where the entropy "goes" I am not even going to mention it.