Hi @Arwin_S,
Thanks for sharing this with the Klaviyo community.
I have seen this issue appear before and Shopify support had to to assist further (as it had to do with an error on their reporting dashboard, our UTMs were set up just fine in this scenario). Assuming up until this point, that the UTMs are being appended to your email links, that in theory should be reflected as “Email” under “Summary” rather than “Direct” and with “Klaviyo” as the referrer name (as you suggest). I’m happy to take a look at the UTMs you’ve set up in Klaviyo if you’d like a second set of eyes on those. You can review more general information on Shopify’s help center here as well.
You may want to consider sending over a short video to Shopify’s support team (of you clicking through the email and tracking that in their reporting dashboard) to help streamline a solution. If somebody else was able to resolve within their Shopify instance and can provide further steps here, that would be great to hear as well.
I hope that’s helpful.