Apex domains cannot have CNAME records.
Question and response
Question
dig thetwinklestars.com. NS
Answer
thetwinklestars.com. 5 NS ns-966.awsdns-56.net.
thetwinklestars.com. 5 NS ns-1109.awsdns-10.org.
thetwinklestars.com. 5 NS ns-845.awsdns-41.net.
thetwinklestars.com. 5 NS ns-854.awsdns-42.net.
Authority
The response has no authority records.
Additional
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0