I've read, several times, about an Englishman who was a Supreme Court judge - clearly well educated and a prominent citizen, between the 1930s and 1950s I think - whose name was
Christmas Humphreys. Which is unusual enough ... but he was also well known for being a Buddhist! Clearly he was able to remain undisturbed by any raised eyebrows he might have encountered. And a friend's brother, Jewish but happily atheist, married a woman named
Christine - I don't know what her religious position was, but I don't think a person with any belief system would have married the guy she did marry.
So, no reason to avoid a name with religious significance. However, I can imagine that there could be times in a young girl's life when having a name that looks that close to Body might cause embarrassment to her and lots of fun to her friends.