Afaik, QBO UK version is only integrated with PayPal. You can use a fee invoicing app to accept payments by Stripe and integrate it with your QBO. 

Thanks for this info. Do you know which app I need please?

Hi Matt, you can check the available apps over on our app store, please note as these are third-party they may incur additional subscription charges.

@Matt Davies 

Utilize this free invoicing app

https://go.zoho.com/FuW

then use this connector to duplicate data automatically to your QBO account.

https://www.integromat.com/?pc=quickbooks

As an additional option, utilize this app to reconcile Stripe transactions into your QBO.

https://synder.grsm.io/quickbooks