It would seem to be that technically there might be no issue saying Christ
- Like you pointed out all christ means is anointed. Being that it has a set definition, we don't care if the connotation was changed throughout the generations, as per the sources the Gr"a brings (Mordechai, Hagahos Maamonis, Yereiym etc.)
Rabbi Aryeh Leibowitz (link below) quoting Rav Ezriel Hildesheimer - differentiations between titles that are godlike and non godlike appellations. For example like “Lord of the Hosts” or “Our master” connotes a godlike attribute.
But all the word Christ means is annointed.
However Rabbi Ari Enkin in an article on Torah Musings titles “Jesus!” Says that saying Christ is problematic - even according to those that allow to say Jesus:
Nevertheless, one should probably not use the word “Christ”, as it is
Greek (and/or Latin) for “the messiah”, “the savior”, and even “the
lord” all of which are terms that are forbidden to be attributed to
anyone.
Rav Yitzchak Berkowitz in a recent Shiur (I unfortunately do not have a recording) prohibited the use of the word Christ
Listen here from Rabbi Aryeh Leibowitz who quotes Rav Herschel Schachter that says saying Christ is problematic.