  Nuclear structure corrections of orders $Z\alpha\, E_F$ and $(Z\alpha)^2 E_F$
are calculated for the hyperfine splitting of the muonic deuterium. The
obtained results disagree with previous calculations and lead to a $5\,\sigma$
disagreement with the current experimental value of the $2S$ hyperfine
splitting in $\mu$D.

Atomic Physics;Nuclear Theory