Trading -Is there a risk of not waiting for confirmation when moving my BTC?

Last week, when I moved BTC from one address to another, my background process was often sent to BTC without confirming confirmation (final BlockHeight -Txblockheight + 1). I understand that when I receive a BTC from someone, I need to check if there are at least 3-6 confirmation to alleviate the risk of the person who spends the coin. Is there a danger of not waiting for my own BTC confirmation to use to pay others? The rest moves to change. What can happen in the worst scenario.