One such manga could be 'Ao Haru Ride.' It has a lead girl who is often misunderstood and the story unfolds as she navigates through her emotions and relationships.
You might want to check out 'Kimi ni Todoke.' The main character is a girl who is misunderstood by her classmates, but as the story progresses, things change for the better. The art style is also quite charming.
I'd recommend 'My Little Monster.' The female lead is seen as strange and misunderstood at first, but as the story goes on, you get to understand her better and root for her romance. It has a great mix of humor and heartwarming moments.
Chapter 701, "Let Bai Lu and Chen'an Terminate the Contract", is the clearest early answer because it turns Miss Jiang's situation into a concrete plot event. The chapter turns that into something concrete by moving from Miss Jiang, that move of yours was totally awesome!" Shao Changqing...
If you want the clearest chapter reference, go to Chapter 2. Early on, On the top floor of the Financial Building, a gathering of dark clouds...; later, the chapter leans on How dare Jiang Li hang up his phone?.
Chapter 448, "Has Jiang Li Gone Crazy?!", is the clearest early answer because it turns Su Yinwan's situation into a concrete plot event.
Chapter 833, "She’s Also a Quick Transmigrator?!", is the clearest early answer because it turns Jiang Li's situation into a concrete plot event. The chapter turns that into something concrete by moving from [It's the Yu Family and that Fengshui Family, the Li Family, who...
Chapter 789, "Son Toad", is the clearest early answer because it turns Father Shang's situation into a concrete plot event. The chapter turns that into something concrete by moving from Shang Shaojing had given her an envelope containing a piece of paper...
Chapter 494, "Unrequited Love Turns Into Enmity", is the clearest early answer because it turns President Shang's situation into a concrete plot event.
Chapter 714, "I'm Using Voice Input", is the clearest early answer because it turns Shen Lan's situation into a concrete plot event. It opens with Jiang Li looked at Jiang Mingyu, who appeared deeply hurt, and... and closes on The person was sending her baffling messages and even called to....
Chapter 611, "The House She Built is No Ordinary House!", is the clearest early answer because it turns Jiang Li's situation into a concrete plot event. A useful checkpoint is the way the scene starts with Jiang Li didn't care about the dissenting voices at all; she rolled...
Chapter 597, "Uncontrollable Things Still Happened", is the clearest early answer because it turns Zhao Lang's situation into a concrete plot event. The chapter turns that into something concrete by moving from Gu Yu's disappearance couldn't be related to the secret of this...
Chapter 496, "Hot Pot Tonight!", is the clearest early answer because it turns Su Yinwan's situation into a concrete plot event.