You are most kind, Polyesco
Perhaps we should briefly go through the procedure of getting a medal.
You have been employed in the same company for say 40 years (I believe it's 40 years, but don't hang me). Your employer or the association your employer belongs to, will contact the relevant ministry, in this case either the Ministry of Employment or the Ministry of Commerce and recommend you for a medal for long and true service.
At the ministry they will check your papers just to make sure you really have been employed for 40 years. Ok, no problem. The recommendation is then passed on to the Chapter of the Order, where among others Joachim will have a look at the recommendation. At this level probably just a formality.
Your name is added on the list that is send to QMII for approval.
The big day of your anniversary comes, your are celebrated by co-workers and your boss. Your boss will give an appropriate speech and present you with the medal and later on take you out for a dinner. That's basically how the tradition is.
Incidentally after 25 years of employ, the first big day (no medal though), you will if you are a member of at least my union, get three days of extra holidays annually. I don't know off hand if you get more after 40 years.
Common curtesy dictates that you thank the Majesty for the medal at the next convenient public audience.
Again following tradition, your employer escorts you to Christiansborg, where the audiences take place. Here you will show up in your finest, wearing your medal and gloves. You present yourself and state your business and your name is added to the list of that day.
You will get a short briefing by an official at the court about the protocol and the discreet signal QMII will give you when it's time to leave.
The door is opened and you are introduced and walk into the room, where QMII stands alone in the middle of the room.
You walk up to her and shake hands while you bow/curtsey. The door is closed behind you, this is an audience alone with the Majesty. She will congratulate you and exchange a few words with you before giving you the sign to leave. You say goodbye and leave. No walking backwards all the way to the door here. I guess that's considered a little silly and perhaps too many have tripped over their own feet beforehand.
And that's it.
Your medal is your personal property and in contrast to an order it must not be returned upon your death.
Of course a lot of people are nervous and perplexed at these audiences so QMII has probably seen all sorts of weird behavior. One well known person here in DK, Jacob Haugaard, told about his audience with QMII after being elected for the Parliament. That went well, until it was time to leave. He just turned around in order to leave, but QMII stopped him: "But surely I'd like to say goodbye to you".