It is a fear I experienced many many times in the past.
The fear of ridicule, of laughter and of derision by a public that does not understand us; why in our right mind we would venture out in public dressed as women baffles and confuses them.
So we reinforce their trepidation by looking nervous, fidgety and overly serious when out in public. No matter how presentable and well dressed we are, that fear percolates to the surface succeeding in destroying the efforts we have made to blend into the background.
I have no illusions that I always pass. Sometimes I pass for a woman, sometimes for a transsexual and sometimes am clocked as a cross dressed male.
It matters not one whit to me and because of this liberation I have attained. I have succeeded in becoming my own person and can now present myself in the way I feel comfortable. This is a major personal victory for me.
Everyone has his or her own objectives in tackling their dysphoria and when you attain that objective it's a panacea for all that ails the mind around this issue.
No matter what your goal is, I urge you to deal with it honestly and without fear of public ridicule for I have found that the greater your personal comfort in your own skin the greater the likelihood that you will be accepted at face value and at least gain respect for being who you are.
I used to care what people thought and it was sapping my energy. This burden of secrecy I had to carry permeated every aspect of my life and stunted my personal growth. I was angry at the world when I should have been angry with myself for letting the world and its whims wield such power over me.
My saving grace was self acceptance and self love for my person exactly as I was created.
People may not understand or even relate to you but they will see a well adjusted soul in front of them. They will hopefully see the real person that resides inside.