Shri Krishna and Satyabhama's relationship is really beautiful. She was daughter of Satrajit and after Shri Krishna found the Shyamantak Mani, she was married off to Shri Krishna by her father. Satyabhama was beautiful but above all she was a warrior and was politically and strategic minded woman. Her qualities were the reasons Krishna preferred her to take to expeditions and wars. Satyabhama was also friends with Arjuna and Draupadi.
Unlike the shows and movies, Satyabhama is not mentioned as a jealous person. She held no malice for Rukmini. Her personal relationship with Krishna was also very loving and he himself said he could do anything for her when she demanded Parijat tree. She asked advice from Draupadi when she told her Pandavas always looked up to her and listened to her. She wanted Krishna to be with her only and Draupadi advices her to not wish it so and then tells her for what qualities Pandavas respected her.
Satyabhama deserves proper portrayal rather than a jealous and stubborn woman in the entertainment industry.