@ILIAM I asked Claude:
Apple says a purchase can take up to 48 hours to process, so past that point it's usually stuck rather than slow, and waiting longer rarely fixes it.
The "Agreement signed: Apple Developer Agreement" email is sent for the free developer account, before any payment. Getting only that one, with no "Your order is being processed" email, suggests the purchase itself never registered, not that Apple is slow to activate it.
Things to check:
Account status: at developer.apple.com/account, see whether it says the enrolment is pending, or still offers a button to complete the purchase. Payment: check whether the card was actually charged or only shows a pending authorisation. A declined or held payment often fails silently. Identity mismatch: the legal name on the Apple ID must match the payment card and ID. Mismatches send the enrolment into manual review, sometimes with a request for a government ID. Enrolment type: if they enrolled as an organisation rather than an individual, Apple verifies the D-U-N-S number and signing authority, and days to weeks is normal.The fix is to contact Apple Developer Support at developer.apple.com/contact, under Membership and Account. Asking for a phone call is far faster than email, and they can usually see what's blocking it straight away.
If the payment turns out never to have gone through, enrolling again via the Apple Developer app on iPhone or Mac tends to be smoother than the web. It does the ID verification in the app and bills as an in-app purchase.
This is from general knowledge rather than a fresh look at Apple's current documentation.