When I try to change the coin the I want to swap it never actually swaps. I have tried to close the app multiple times. I am trying to swap my ETH with BNB.

Hi there, Trust wallet Only allows to trade / swap Erc-20, BEP2 & BEP20 same standard tokens in the app. You can't swap Native ETH to BNB since both use different blockchain. Please move them to any exchange platform and trade there.