Then why do you use the name, God.
"God" isn't a name. You seem stuck on this word. It is a title describing a position or status....deserved or not.
Gods have names...even false ones. The true God also has a name identifying him and separating him from false gods and those to whom it applies in a descriptive sense, like the judges in Israel who had divine authority.
You just said that that word, in Hebrew, isn't exclusive, in meaning.
Apparently you have problems understanding simple terminology.
The word "god" can be used of those who are not the true God because it isn't an exclusive word that describes Jehovah in any language.
In Greek, "theos" simply means one who is divinely powerful or given authority by one greater in divine power. Why is that concept difficult for you?
...what? You just used the word (hebrew word, presumably, that you are associating with non specificity, that you are claiming isn't specific, then went to a specific, [supposedly, title. So, which is it? The general word, or the title?
I believe that you need to alter your perception of the word. Some research may help you to move past your current mindset perhaps.....