Apex domains cannot have CNAME records.
Question and response
Question
dig christielau.me. NS
Answer
christielau.me. 5 NS ns-793.awsdns-35.net.
christielau.me. 5 NS ns-1761.awsdns-28.co.uk.
christielau.me. 5 NS ns-2015.awsdns-59.co.uk.
christielau.me. 5 NS ns-298.awsdns-37.com.
Authority
The response has no authority records.
Additional
. 0 OPT ; payload 1232, xrcode 0, version 0, flags 0