Apex domains cannot have CNAME records.
Question and response
Question
dig arthurbillonsh.com. NS
Answer
arthurbillonsh.com. 4 NS ns-179.awsdns-22.com.
arthurbillonsh.com. 4 NS ns-565.awsdns-06.net.
arthurbillonsh.com. 4 NS ns-1409.awsdns-48.org.
arthurbillonsh.com. 4 NS ns-1527.awsdns-62.org.
Authority
The response has no authority records.
Additional
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0