How to live down embarrassment?

Yesterday, I had an emotional outburst in front of everyone at work. My friend was talking with me about something I had secretly been dealing with myself and I guess all the repressed and bottled up anxiety just exploded. I cried my eyes out for about an hour in front of everyone. People were very nice and gave me hugs and stuff but now everyone knows all about my anxiety, low self confidence and body dysmorphia. I feel vulnerable and like I no longer have any self defence as well as extremely embarrassed because I got carried away with telling people how I felt.
That was the first time I've cried in front of someone my entire life and actually told people how I felt inside. My own mother doesn't know I feel this bad. I've always dealt with things on my own and kept up appearances.

I don't know I can face everyone again.
How to live down embarrassment?
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