Hello, 587106411929391.

I'll take it from here and shed some light on recording the customer refund in QuickBooks. 

Yes, we would want to select a bank account under the Refund from drop-down menu on the Refund Receipt form. Doing this would post the refund transaction to your check register. 

You also mentioned something about the receipt not reflecting under their account. 

Have you selected the customer's profile under the Customer drop-down menu? Perhaps this is the reason why it's not showing up under the profile. Make sure to select their profile from the menu. 

I would like to go over your original post again to ensure your entries are correct and accurate. Creating a Refund receipt and a Credit memo will double-book your refund, as mentioned by MirriamM. 

Since you only issued a check to the customer, we would only want to enter a Refund Receipt. QuickBooks automatically counts the form as a "check" type.

So, when you look at their profile, the Refund Receipt is reflected as "Refund" instead of "Check."

If you haven't already done it yet, let's first delete the credit memo entry from your books. I'll just reiterate the steps above for convenience (this achieves the same results):

1. Click the + New button, then select Credit memo (we aren't creating anything; we're just going to find it). 
2. Click the clock icon beside the Credit Memo header.
3. Look for the credit memo you created, then select it. 
4. Click the More button, then select Delete. 

We don't need to record anything at this point. But, if you want to print the Refund Receipt as a check, let's open it again, then click the Print later option. Save the receipt afterward. 

To print it, go to the + New button, then select Print checks. Select the bank where you recorded the refund, then check the Refund entry. Add a check number, then click Preview and print. 

When you're ready to reconcile your payments and expenses in QuickBooks, take a look at this guide if you need help: Reconcile an account in QuickBooks Online.

You're more than welcome to drop by again if you have concerns about managing customer payments and refunds. I'll also help you out if you have questions about other entries or when running reports. Always here to help.