CD player question

[Voyage]

I accidentlly stepped on the electric cord of my CD/tape recorder and the recorder hit the floor. The CD and tape I had in the player and deck went out immediately hitting floor.

The playable side of the CD touched the floor which was kind of dusty and dirty, so I cleaned the CD with a flannel cloth and later played it again on the CD player for 20 secs. Then I threw it away and cleaned the CD player with some tissue paper, not touching the laser lens.

Now what I would like to know is if there's any possibility that the CDs I play in the future can get damaged by any dirt or possibly fungus that the damaged CD left (if it left) when I played it again?

My recorder doesn't recommend the use of cleaning CDs.

Voyage :(