The proper term is lower semideviation: finance people are sloppy in their language (all over the place; not just here), and they drop the “lower”.
I encourage you to write “lower” before “semideviation” every time you see the latter; it’ll keep it straight.
The “target” for lower semideviation is the mean; if you want to refer to a different target, the proper term is lower target semideviation.
So the correct answer’s B.
(By the way, authors differ on the correct denominator in lower semideviation: some believe that you should divide by the number of observations, while others believe that you should divide only by the number less than the target. Be careful.)