I guess from a design standpoint of transferring the character into Strive, yeah in Xrd there was Bedman who was on their bed, but since the characte… - Daisuke Ishiwatari

After the events of Bridget's story in Arcade more, she self-identifies as a woman.
So, as to whether “he” or “she” would be the correct pronoun for Bridget, the answer would be “she.”
As mentioned in her character profile, Bridget was born as the younger twin son and then raised as a girl by her parents to protect her from a village superstition.
Despite their intentions to protect Bridget, it pained her parents to do so as they felt they were forcing her to live a certain way.
Bridget, realizing this, attempted to bring wealth to the village while behaving like a man, thus overturning the village superstition, as a way to free her parents from their guilt.
As a result, the superstition faded, and nothing remained to restrict how both Bridget and her parents lived.
After this, Bridget tries living as a man, but it doesn’t feel right.
This is where the Arcade Mode story begins. After her exchanges with Goldlewis and Ky, Bridget faces parts of herself she has tried to ignore, and makes a big decision for herself.
I hope that all of you will watch over her path after her courageous choice to stay true to her own feelings.

The creation of Bridget as a boy happened at the very last second; during development I was drawing him as purely a girl. It’s just that when there is a need to give a worldly backbone (to the game), in order for me to try to not forget each character, and in order to revive the character, I give them my very heart. As a result, the creation of Bridget as actually a boy instead of a girl was because I thought he could become my alter ego. Well, if there was a need for it the reverse— a girl that looks like a boy— that would be okay too, but it doesn’t look pretty game-wise. It’s also somewhat calculated (laughs).

While I was creating the characters in Guilty Gear, I had a spot for a cute character. I thought it would be too boring if the character was just cute, so I thought it would be interesting to make the character a guy.