You do not need the web-app to receive coins or tokens. Receiving is a passive process and happens on-chain.
Before you request any coins to your wallet, make sure you can access your wallet with the correct receive address.
If you access your wallet through mnemonic words or the WIF, please make sure to not make any typos. A single typo will result in a completely different receiving address. There is no risk for a typo when accessing through your Key File.
On the View Wallet Info page click on the blue
COPYbutton and use this address as the receiving address. Wait a few minutes for the next block to be mined and reload the web wallet to see the new balance. You can also click on the menu option
View Wallet Txsto see the receiving transaction: