The word "issue" is mostly used to mean "to put forth" or "to distribute". Similarly, the word can also be a noun which has been issued (example: an "issue" of a magazine or document). When used like this it can be synonymous to "edition" or "printing".
However, the usage you give is a common idiom based on another definition ("a point in question" or "a matter of dispute"). This you hear in phrases like "the legal issues". The specific idiom you are using is to "take issue" which means to disagree or dispute something. For example, "I take issue with his decision" or, in your case, "I have an issue with the word "issue", which means there is something between you and the word "issue" which is unresolved.
Hope this is useful to you and helps you understand the issue. :)