If I will create a new wallet on my Trust wallet app,
then move my funds from my old wallet to the new wallet and accept the contract call on my old wallet, will the new wallet can be at risk
Why don't you create a contract on a new wallet? I think this is more logical, saves energy and you don't need the transfer fee. And you can secure your assets if something unexpected happens.
somehow? or this smart contact script can only affect the wallet which got it?
I think this will only affect the wallet you choose. You can even cancel your contract after you receive payment.
I think this is not a common thing. I was a little thinking why they need a smart contract just to accept payments? They should be able to immediately send payment via your ETH address. I hope you can be aware about your wallet and use a new wallet for this transaction.