Can a fare evasion fine affect my residence application?

Hello,
I am currently studying in Vienna but my student residence application is still being processed. I am also a resident of another schengen country so my stay is perfectly legal. Recently it has happened to me that for whatever reason I jumped on a tram without making sure I have a valid ticket, and of course, got caught. I had to cross the road for an ATM to be able to pay on spot and they kept my identification documents in the meantime. Now, my question is if they saved my personal details and If somehow the magistrat would be notified and might refuse my application based on this? The paper they gave me after I paid the fine didn't include anything else other than my gender but I don't know what is in their version.  It was a stupid one-time mistake and now I am terrified that I ruined my life. Does anyone know or is experienced in this matter?
Thank you very much for your answers