General:
* Repelled: to drive away or push back.
* Discouraged: to make someone less confident or enthusiastic.
* Ignored: to pay no attention to.
* Rejected: to refuse to accept or consider.
Specific:
* Repulsed: (if beckoned means "attracted") to feel intense disgust.
* Dismissed: (if beckoned means "called upon") to send away.
* Avoided: (if beckoned means "invited") to stay away from.
The best antonym will depend on the specific meaning of "beckoned" in the sentence you're considering.