Even though Mon - El leaves, their relationship can still develop. Kara could keep a journal for the baby, writing about her feelings for Mon - El. When Mon - El returns (if he does), he could read it and realize how much Kara truly loved him. Also, Kara might have dreams or visions of Mon - El during her pregnancy, which could show that their connection is still strong on an emotional level.
You can start by asking for recommendations from friends or family who have similar reading tastes. They might be able to point you to some great mon fictions that you would enjoy.
They would become more united. Having a baby together would make them a family, and they would have a stronger bond as they face the challenges of raising a child. Their relationship would be more about teamwork, not just as superheroes but also as parents.
She might initially be heartbroken. Kara, being strong - willed, could focus on taking care of herself and the unborn child. She may turn to her friends at the DEO for support, like Alex, who would be there to help her through the difficult time both emotionally and physically.
He might leave to protect Kara and the unborn child. Maybe he discovers that there is some kind of danger following him that could put them in jeopardy, so he decides to sacrifice his time with them to keep them safe.
You can start by searching on popular fanfiction websites like Archive of Our Own (AO3). Use the search terms 'Kara and Mon - El' and look through the results. Check the ratings and reviews to find the better ones.
Their relationship would likely become more protective. Mon - El would be constantly worried about Kara's well - being and that of the baby. He would be more vigilant and might even become overprotective at times. Kara, on the other hand, might struggle with accepting too much help as she is used to being the one who protects others. But she would also have to learn to rely on Mon - El more, which could strengthen their bond in a new way.
There's not enough context to really know the details of the 'buzz mon click secret story'. It might be a story related to some sort of buzzing sound or action (the 'buzz mon click' part could be a unique name or action sequence) and it has a secret aspect to it, but without more information, it's hard to say more.