Ah I see. I think that is actually a great question for you to bring up at Alpha Education this week, for your NMC to answer for all of your alpha class!
You can tell people you are in Alpha Delta Pi and this is your new member badge-- the "alpha pin." You have been told a little of the meaning and more will be revealed as you become a delta member, but for now, you can wear your pin, tell people what it is, and explain that some things are Alpha Delta Pi "ritual" and cannot be revealed to non-members. They will understand it is a sorority secret and won't press you.
What you keep off the boards and say to non-members: please stray away from anything to do with the order of a business meeting or what is discussed in a business meeting, nor anything to do with the order of a ritual like initation, the ritual things (you do wear a pin, but its whole meaning is known only to members of ADPi), alpha ceremony, etc, or things your NMC tells you are secret. What you can reveal: ADPi history, symbols and colors and open motto.
If your chapter is facing some challenges, think about the image you are projecting for ADPi-- it is ok to talk to a sister about these things, but you might be better posting them at Pride Online (you will get a membership number when you are delta to sign on), so don't post anything you feel might be negatively perceived by another GLO on a Greek Chat board. Other GLO's do read our forum, and that is ok. We can read theirs, too! We want to keep positive PR for ADPi, though. It's ok to PM an ADPi about it and they can advise you. But if anything, if you aren't sure about something do talk to your NMC and Diamond Sis. They are the surest thing to the right answers
This isn't to say that if there is a problem, it should stay within you. But discuss it with your chapter before you post on Greek Chat, and in matters of ritual or secrets, always talk to your NMC, Diamond Sis or the Guard (keeper of our ritual).
Welcome again and thanks for your great questions