Mahabharat is Itihas and a Dharm Shastra (which teaches Dharma). Mahabharat is an epic and it's foundation is Vedas. Mahabharat War indeed happened as it's Itihas but it's told in story form so metaphorical and educational elements are in it and also it got interpolated over time. The story is to learn the true Dharma and what things to do in life and what not. While Ramayana shows story of siblings who were extremely dedicated to each other, Mahabharata showed the reality of society, brothers and relatives being competitive and feeling jealous of each other and fighting over land and property. But the conclusion is that hatred, jealousy and war brings nothing but destruction. So, every character in the epic is tragic and suffered because that's what human life is so, Draupadi also suffered. Draupadi was married off to Pandavas and she suffered humiliation from Jaydrath, Duryodhana, Karna and other Kauravas except Ashwathama and Vikarna but Ashwathama in the end killed her children so he hurt her the most. Draupadi liked Arjuna the most and serving the other husbands out of duty and devotion so she never really had the chance to be with Arjuna only.
Despite suffering so much the queen was really brave and intelligent and always tried her best to do good of her husbands and family. The depiction of Draupadi in Star Mahabharata comes really close to the epic.