We are not supposed to use God's name in vain. The word "God" is not His name. He told the Hebrew people, the Israelites, that He had one name for them to call Him by. It is listed in the Torah. Then they invented all kinds of other names for Him. God and G-d are not His names.
G-d is an English word indicating deity.
This word is derived first from Latin which, in its turn, derived from Greek as well. This word "God" was first invented in the greek version of the Bible "The Septuagint" from where the Latin and the English version are derived.
https://en.wikipedia.org/wiki/Septuagint
In the hebrew version of the Bible (Tanakh) the term G-d is translated with: Elohim, Adonai, El and YHWH.
https://en.wikipedia.org/wiki/Tanakh
Every God's name has it own different meaning. As I think we have lost a lot by incorporating all his names in one word (God) I think it is better to use the word G-d when needed instead using the uncensored version God.
I understand, now, that for you this is not the God's name but you'll never know who will be reading your thoughts so it is better to use the censored version (G-d) to respect the reader.
Hope this is clear enough.
Thank You