Some caution is warranted. And, yet, this is your life, your choices, and your consequences.
Having no idea what the consequences would be if you started wearing female clothing in public, it's hard to offer sound advice.
Certainly, wearing undergarments out and about is ok. Maybe start evaluating your friends and family for "probable responses". Maybe ease into it over time.
Difficult to say.
Take it easy on yourself. There's nothing wrong with you. And, the world is a friendly place.