The fear, and overcoming it, is part of the process of learning I reckon.
I'm still very low hours, six and a half so far, and tonight was the second time I'd had a full spin demonstrated. However since we'd done the rest of the hour doing Ex 10a (stalls in various configurations) I decided I'd conquered enough fear for one lesson at that point...
Just think to yourself "My instructor is not going to let me do anything that might ruin his day, so this must be ok to do"