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In wiktionary.org theology is defined as "study of God", while in Microsoft's Encarta Dictionaries, it's defined as "study of Religion".
Can we use theology in terms of "study of religion"? I mean isn't it stemming from Greek theos meaning God?
When studying God, we don't necessarily study religion, do we? We study God's existence (not related to religion yet), we might study its attributes (still not related), and then we might study its products (now we're talking about religion).
You can study the idea of God independent of religion, but because the concept of God is usually invoked as part of a set of religious beliefs, the two will be inevitably linked. Somewhat like you mention, I took a course back in college called "Philosophy of Religion" but we did not talk about any religion specifically, just the idea of God, specifically the Abrahamic one.
If you want to get technical:
"theo-" meaning God or gods
"-logy" meaning science or study of
