You'll be able to use your wallet without any problems. Receiving and sending transactions. Atomex is non-custodial wallet.
However, the swap may be rejected if the source of your funds is blacklisted. In this case, there will be a refund in blockchains without any risk of freezing funds.
can you share what type of funds that blacklisted from your wallet?
because i'm afraid that i can't withdraw my balance later if i deposit my coins into your wallet if the website that i usually playing is got blacklisted from yours