@thepaintedbeat I have two ideas about this, as me either working with a woman (owner of an agency), and I'll tell you what I noticed.
First, I think your industry had most of the developers are men, that's why everybody assumes they'll be a developer man (because men by nature are interested in objects) - and just like when you marketing, or digital marketing we assume a woman will show up.
I think it all goes to the perspective you have, you want to force them to take you seriously (this shows insecurity and neediness).
but if you just see it from another perspective "I'm the exception here, finally, they get to work with someone who had integrity" will shift how you see the situation.
You can also own it, on a call say something "I am the one gonna take care of this, finally a woman who's great at development ..."
You can also add "I had one a CEO told me, finally we'll work with someone who pays attention and had integrity" this will indirectly tell them I know you think I'm not good enough, but this person just says that.
Last thing (this is what I noticed from the woman I work with), when we hop on a call with a client, she waits for him to lead the call.
How did she do that?
She pauses to let him start talking. She’s too nice.
When she could just chit chat a little bit, then lead the call, so John the goal of the call is to find things we can help you with, usually, we do this and that and it takes about - this will show them you’re in control, and you know what you’re talking about because that’s shat matter.
The last thing, for someone to take you seriously he has to respect you - you don’t force it, or ask for you. You earn it through your actions.
I hope I helped you.