Requirements for mathematics will depend on school/degree program, so the most helpful way to find this information would be to take a look at the degree plans at the university where you will do your studies. Schools will have these posted on their program websites (e.g., UT-Dallas's degree plan for Computer Science can be found here: https://catalog.utdallas.edu/2017/undergraduate/programs/ecs/computer-science#degree-requirements). A lot of schools will have a minor, certificate, or concentration in cybersecurity that you'll do in addition to or alongside a more general major (e.g., Computer Science, Computer Information Systems, etc.). Generally, it is my understanding that there is a fair amount of math involved in training within the field of computer science, especially when you start looking at degree options that require in-depth training in programming (e.g., it looks like UT-Dallas requires at least up to Calculus II). So, a degree in Computer Science will likely require more math than a degree in Computer Information Systems.
Keep in mind that most schools will have resources like tutoring and supplemental instruction available to students. People's definition of being bad at math really varies. You will know you best - so, if you think having a bit more support would help you get through the math courses you'd have to take, this would be something worth looking into.
Additionally, I would suggest conducting an informational interview with someone who currently works in Cybersecurity to get an idea from them about what their day-to-day job is like and how that matches with your interests/skills.