  The quasiparticle random phase approximation is used to study the properties
of the wobbling bands in $^{163}$Lu. Assuming that the wobbling mode represents
pure isoscalar orientation oscillations results in too low wobbling frequencies
and too strong M1 transitions between the one- and zero-phonon wobbling bands.
The inclusion of an LL interaction, which couples the wobbling mode to the
scissors mode, generates the right upshift of the wobbling frequencies and the
right suppression of the B(M1)$_{out}$ values toward the experimental values.
In analogy to the quenching of low-energy E1 transition by coupling to the
Isovector Giant Dipole Resonance, a general reduction of the M1 transitions
between quasiparticle configurations caused by coupling to the scissors mode is
suggested.
