Nicos,
Therapeutic issues should really be addressed with a qualified yoga teacher as the tools being utilized are tremendously powerful. And as we know from simply looking around, a powerful tool in the right hands is beauty, in the wrong hands that same tool is mayhem.
For anxious students a practice of backbends can be very helpful; sarpasana, bhujangasana, setu bandha, dhanurasana, urdhva dhanurasana (adv.), ustrasana (adv.).
Forward bends are to be avoided; uttanasana, balasana, janu sirsasana, paschimotanasana.
Meditation and pranayama also would be very good. Unfortunately many classical meditations stoke the vital force and while this was appropriate at the time of their development it is not appropriate based on the way(s) in which we’ve chosen to live as a society.
Likewise, pranayama techniques are often misused due to a lack of understanding and absence of context. Student’s latch on to a particular pranayama, having been told it is effective, without understanding the cautions involved (tools in the wrong hands, if you will). So for breath work I would suggest (again) finding a teacher and beginning ONLY with a gentle Ujjayi pranayama or Viloma II.
As for kinesiology, that is the study of human movement so in this particular case it is not a remedy, per se, for anxiety, though movement will be good for those with anxiety issues.
gordon