The interaction between the nuclear spin (I) over right arrow and the atomic spin (J) over right arrow of the not fully stripped nuclei, which are recoiling after a nuclear reaction, reduces the nuclear orientation during their Eight through vacuum. In this paper we report on how the orientation is restored by applying a magnetic field in the direction of the initial orientation axis. This implies that the level mixing spectroscopy technique (LEMS), used to measure nuclear quadrupole moments of high-spin isomers, can be applied for nuclei which have traveled through a vacuum before being implanted in a suitable host. Such a recoil-shadow configuration, where target and host are separated from each other and the detectors are shielded from the target, improves the detection efficiency in a LEMS setup. This increases the possibilities for application of the LEMS method. We have developed a formalism that describes the loss of orientation due to the (I) over right arrow. (J) over right arrow interaction and its influence on a LEMS measurement performed in a recoil-shadow geometry. The formalism is used to describe experimental data for the (69)mGe[I-pi = 9/2(+), tau = 4.05(7) mu s, mu = -1.0011(32) nM] isomers recoiling out of a Fe-nat target into a Ni and a Pt host.