This is not legal advice, and I do not give any. This is my personal opinion.
Search for "Disorderly Conduct" on these forums, under Kentucky only.
The woman is wrong about "disturbing the peace", period. First off, "disturbing the peace" does not exist Kentucky Revised Statutes, to the best of my knowledge. It may exist in other states, but not in Kentucky. The only thing that would apply here is "Disorderly Conduct", as shown below.
Secondly, I have not heard of any precedent for "disorderly conduct" for just open carrying. What you do while open carrying, however, could make the difference between no charge, or a "disorderly conduct" charge. Example: If you walk around with your hand on the holstered gun, then that could be perceived as "threatening behavior".
However, a charge of disorderly conduct for simply open carrying is not justified. I've been told that getting such a charge dropped in court for open carrying would be quite easy, although I don't know what that process is.
525.055 Disorderly conduct in the first degree.
(1) A person is guilty of disorderly conduct in the first degree when he or she:
(a) In a public place and with intent to cause public inconvenience, annoyance, or alarm, or wantonly creating a risk thereof:
1. Engages in fighting or in violent, tumultuous, or threatening behavior;
2. Makes unreasonable noise; or
3. Creates a hazardous or physically offensive condition by any act that serves no legitimate purpose; and
I believe the police, and any prosecutor would first need to prove that you had "intent" to cause alarm, or anything stated in (a) above. #1 probably does not apply here, unless your behavior is somehow threatening. Open carrying does not fit that criteria, since it is a protected right, and is a "legitimate purpose", as self defense.
The simple act of carrying a holstered gun openly is a recognized right supported by court precedent (Search for Holland vs Commonwealth in the Kentucky forum here ).
525.060 Disorderly conduct in the second degree.
(1) A person is guilty of disorderly conduct in the second degree when in a public place and with intent to cause public inconvenience, annoyance, or alarm, or wantonly creating a risk thereof, he:
(a) Engages in fighting or in violent, tumultuous, or threatening behavior;
(b) Makes unreasonable noise;
(c) Refuses to obey an official order to disperse issued to maintain public safety in dangerous proximity to a fire, hazard, or other emergency; or
(d) Creates a hazardous or physically offensive condition by any act that serves no legitimate purpose.