bedaze

WORDNET DICTIONARY

bedaze(v = verb.perception) daze, stun - overcome as with astonishment or disbelief; "The news stunned her"

is one way to desensitise, desensitize

Sample sentences:
The bad news will bedaze him
The performance is likely to bedaze Sue

bedaze, v.

to cause to be senseless, groggy, or dizzy; cause to lose ability to respond normally; desensitize. [WordNet 1.5]

For further exploring for "bedaze" in Webster Dictionary Online