Thank you for reaching out to the community again and sorry for the wait!
As Denny explained to you on the other thread, you would have a national deportation ban status if your appeal gets rejected.
If you wonder what legal rights you would have with the national deportation ban status, have a look at this website from BAMF: http://www.bamf.de/EN/Fluechtlingsschutz/AblaufAsylv/Schutzformen/AbschiebungsV/abschiebungsverbot-node.html
Regarding your question if you can travel, here is a helpful paragraph from the queerrefugeeswelcome website:
"If you do not have a passport from your home country, you will be issued with a substitute identification document alongside the residence title card. But you cannot use it to travel abroad. If you have made every effort to obtain a passport issued by your home country but were unsuccessful, you can obtain a German travel document for foreigners from the German immigration authority. You can use it to travel abroad."
Here is some more information regarding the appeal process - as Denny mentioned before, it can take some time and it is hard to say how long exactly: http://www.bamf.de/EN/Fluechtlingsschutz/AblaufAsylv/Rechtsmittel/rechtsmittel-node.html
Let us know if you need any further assistance and feel free to use our comment function below the answer! That way, the conversation stays on the thread and is easier to follow for everyone :-)
All the best,