Sure it does! :-)
I wanted to suggest to use "standard rules" to center the '>', but in fact it's already done.
Within the browser plug-in though, it appears as if it was "start of accidental/note" ??

Anyway, if the word was "bles-sing", how could we place the > above the i?
(...) I just tested (with bla-mmmmmmming, just for testing purposes), and we can easily move the > to the right by preceding it with one or more non-breaking space(s) (Alt+0160).

To center the > above the i in bles-singly, add Alt+0160 AFTER the >  :)

Quickly said:
   to move the > the right, add Alt+0160 (one or more) before it;
   to move it to the left, add them after it.