All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad is His slave and Messenger.
If this training is only for women, and this woman observes the religious pre-conditions, like wearing Hijab and the like, and her husband gives her permission to do so, and this does not lead to neglecting an obligation, then it is permissible for her to do this job.
However, it should be mentioned that if this woman has no need to go out to work, then her staying at home is better for her. Allaah Says (what means): {And abide in your houses.}[Quran 33:33]
For more benefit on the pre-conditions for a woman to work, please refer to Fatwa 82399.
Allaah Knows best.