Text Color in the binder

Please excuse me if this has been asked before, but - Is there a way to manually change the color of the text inside the binder?

No, the text color is handled automatically to contrast with the background color used in each binder tab (the regular binder, search results, and any other collections you may have created). If you’re right on the threshold you could try adjusting the values up or down just slightly for your background color to get the text color to switch from white to black or vice versa.