We study graded right coideal subalgebras of Nichols algebras of semisimple
Yetter-Drinfeld modules. Assuming that the Yetter-Drinfeld module admits all
reflections and the Nichols algebra is decomposable, we construct an injective
order preserving and order reflecting map between morphisms of the Weyl
groupoid and graded right coideal subalgebras of the Nichols algebra. Here
morphisms are ordered with respect to right Duflo order and right coideal
subalgebras are ordered with respect to inclusion.