So, let me get this straight, you have a Gmail account, you asked someone to send you some very important mail. You log in to the Gmail website, using Edge, and there is no email from said person? Is that correct? The Gmail site works fine on Edge, insofar as it can, I'd check with whoever was supposed to send you the email first and verify with them it was actually sent to you to start with.
Or, are you saying that the Gmail website on Edge does not display properly so you cannot access any email inside? If that is the case, can we have a screenshot please?