Hi Shauna,
This is a bit tough, but the logic would be that the reactivity of oxygen is most important to the
In particular, oxygen in not the only species that is available to be used as a terminal acceptor, and the most compelling reason to use it is because of its inherent electron accepting activity.
When you say oxygen is used because of its availability within the matrix, you open a can of worms implying that anything that gets in should be able to react. Other gases such as nitrogen/carbon dioxide can also get in, but they're not as good at being electron acceptors as oxygen, and so they are not used.
That being said, I'm not sure I would have gotten this off the bat. The logic is solid, but I think it would trip up a lot of people on exam (myself included)
I hope this helps!
Katt