Hello @Tobias Lauridsen ,
To be honest, the Teams for Edu is not supported in Q&A forum. You may get help from the Online support page:https://learn.microsoft.com/en-us/microsoft-365/business-video/get-help-support?view=o365-worldwide#online-support
I couldn't test it for you because I don't have the Teams for Edu or School version.
If you are the first time to login to Teams, please see this video: https://www.youtube.com/watch?v=qx8xHpRMFHU
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And if you have sign in with the wrong email, please try signing out and use the right account to sign in.
If you just bind your school credential with the wrong email( I don't know if you need do that or not, just a guess), then you maybe contact with your school Teams admin to reset the credentials. Or you could just reinstall the Teams client.
Hope these could help:)
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