LOL. Glad I'm not the only one who has this issue. Out of my three Yorkies, only one shakes. I got her when she was 6 months old and she had been going to Petsmart for her baths and grooms. I'm not sure if something happened there to make her afraid or if it's just her.
When I first got her, she would panic and try to climb up my arm to get out. So, she has improved - she is 2 years old now. She at least will stay in the sink, but still acts petrified. She shakes and cowers while being dried and brushed out. It's kind of hard to brush her while she is all crouched down.