Here is the couple of ideas I came up with for Bluestar. I wanted the design to be something cool that the women would love to have on t-shirts and other merchandise. So, I kept the whole thing pretty fun.
#43 & #44: These are my emblem ideas. They are strong and convey a professional fitness feel.
#45: This is a clean wordmark design, with a literal blue star in the "a" of "Bluestar". This one is a little more feminine than the emblem ideas, which may or may not appeal more to the target demographic.
#46: This is a one-color version with a larger blue star incorporated.
Let me know if you are digging any of these design directions, as I would love to work back and forth with you to get it exactly how you want it.