on learning (and teaching) oboe vibrato

Vibrato can take a long time to master, but it doesn't have to be difficult to learn.

That said, it is important NOT to start vibrato too early - you should have played for at LEAST the better part of a year first (certainly more than six months), and there are some fundamental skills you should make sure you've mastered first:
-holding a note with steady, good tone
-in different ranges (first octave high notes, right hand low notes)
-at different dynamics (very loud, medium, and quiet)
and WITHOUT relying on tension in the upper body or embouchure. Tension in the embouchure, shoulders, neck, or head posture will prevent you from learning a good vibrato.

Until you can do these, work on them, and not vibrato.

Also, remember that it is far more important that the vibrato come from a good place - NEVER the face or from movements of the head, oboe, or whole body - than it is to learn it quickly. Be patient, do a lot of the staccato-without-tongue exercises discussed in the video, and be sure to avoid extra movement in incorrect places (face, head, body, oboe). It may help to focus on keeping the embouchure as engaged as if you're playing during the air hiss moments.
Don't let an ensemble situation push you into forming bad habits you'll have to unlearn later just to get some sort of wobble to happen very quickly.

Best of luck in your oboe learning journey.