How do i deal with a supplier refund paid by cheque to us and showing on our bank feed but the inital bill was paid by credit card ?

Hello there, @Flex1. We can create a Bank deposit to record the refund in QuickBooks Online (QBO) in a way that reflects where the money was deposited, which is your bank account. I'll guide you with the steps below.
 

1. Click on the + New button.
2. Select Bank deposit.
3. Go to the Add funds to this deposit section and select a supplier.
4. Choose the same account from the initial credit card bill.
5. Enter a description that this was a refund for a credit card expense.
6. From the PAYMENT METHOD column, select Cheque and add the amount.
7. Click Save and close.
   

Also, if you need to transfer the refund amount from your bank account to your CC account where the credit card bill payment occurred, you just have to create a transfer record in QBO. For more details, visit this article: Transfer funds between accounts.
 

On the other hand, if the supplier refunded the amount directly back to the same credit card account, then, you don't need to involve the bank account. We can directly create a credit card credit transaction. See the steps below:
 

1. Click on the + New button and select Credit card credit.
2. In the Payee field, select the appropriate supplier.
3. From the Bank/Credit account dropdown, select the credit card where you received the refund.
4. Enter the Payment Date, refund Amount, VAT, and Category.
5. Select Save and close.
    

You can refer to this article for more details: Handle supplier refunds and credits in QuickBooks Online.
 

In case you need to keep track of your total expenses for each supplier, you can run the Expenses by Supplier Summary report in QuickBooks. Check out this article for reference: Run a report with supplier totals in QuickBooks Online.
 

Please touch base with us if you need anything else besides managing the supplier refund in QuickBooks. The Community is always here to help.