And that applies to my statement how?
You have stated in the above sentence that she was not following the law. That's not true. She just wasn't following the law in the manner that the lesbian pair expected.
The law requires the office of the clerk to process the licenses. It does NOT specify an exact manner or time frame, and therefore a standard policy that requires an appointment with an individual on the clerk's office staff is a reasonable approach to satisfaction of the actual requirements of the law - even if it isn't the expectation of the applicants.
That is how the existence of this standard office policy is related to your original post.