Apex domains cannot have CNAME records.
Question and response
Question
dig amy-fan.org. NS
Answer
amy-fan.org. 1 NS ns-514.awsdns-00.net.
amy-fan.org. 1 NS ns-709.awsdns-24.net.
amy-fan.org. 1 NS ns-1367.awsdns-42.org.
amy-fan.org. 1 NS ns-406.awsdns-50.com.
Authority
The response has no authority records.
Additional
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0