I need to know if the trademark (™) symbol has to remain fairly generic in styling, or can it by made to match the style of a logo?
I am not a trademark attorney which is really who you should ask.
My understanding is the ™ is merely an indicator that the mark is being used in an effort to register it. ™ means "We intend to make this an ® when unique usage has been established." ™ does not provide any legal protection, it merely is a notice to infringers that the user may intend to file a registration claim. The more you "design" the ™ the more you convolute that warning.
™ is never meant to be part of a logotype. You really don't design around the ™. It may change to a ® when the mark is registered. You should design your logotype without considering the ™. Then place the ™ in the most optimum location for visibility.
All this taken into account -- Yes, you can style the ™ to some degree. However, be careful not to alter it so much that it no longer appears to be the actual ™ mark. And be aware that it may be removed or replaced at some point so your logo should never rely on the ™ being present.
I am also not a trademark attorney, however I think you can style the TM how you please. I wanted to share this relevant video about Levi's and their approach to handling the trademark: http://www.fastcodesign.com/3036283/how-levis-turned-a-design-evil-into-a-design-signature