The Uniswap Wallet uses WalletConnect to connect your wallet to dapps (decentralized applications).
Always check that the site you are connecting your wallet to is trusted, and you have accessed it with the correct URL.
How to connect my wallet to a site (dapp) using Wallet Connect:
Select the QR code scanner. Hover your phone’s camera screen that appears on your Uniswap Wallet above the QR code for the site you are connecting to.
Select the network you would like to connect to.
Select the account you would like to connect to the site.
Review the site information and select “Connect.” Your wallet is now connected to the site.