Embarrassment in a dream usually centers on social fear -- a moment where you're seen doing or being something you'd rather have kept private, in front of people whose judgment matters to you. It often surfaces around real self-consciousness, a worry about how you're perceived that's bigger than the specific scenario in the dream itself.
Give not judgment before thou knowest the intention of the querent; for many ask they know not what, nor can they express what they intend. - William Lilly (1602.-1681.)