These are what we call the 'YMMV items.' Things that some people find in this work. We call them 'your mileage might vary' because not everyone sees these things in the same way. This starts discussions in the trope lists, a thing we don't want. Please use the discussion page if you'd like to discuss any of these items.
Complete Monster: The Phantom Rider, who drugged and raped Bobbi because he fell in love with her, definitely qualifies. He later tried to convince her that it wasn't his choice to do it and, after she refused to believe him, tried to kill her so they could be together forever. He tried to kill Bobbi and, after their fight led to him clinging to the edge of a cliff, tried to order her to pull him up. Bobbi let him fall to his death.
He then came back to haunt her, ruin her life and tried to kill her twice.
Crossfire also counts, though he's more associated with Hawkeye. Having a grudge against the two for taking him down years ago, in their series he teamed up with the above mentioned Phantom Rider (he knows the story of what he did to Bobbi, and he finds it amusing), shot Bobbi's mother just to hurt her and push her and Clint apart, then shoots Hamilton Slade, resulting in Jaime Slade, who Phantom Rider was possessing at the time, declaring vengeance on Bobbi now that she retains the powers of the Phantom Rider. He also once placed a bounty on her husbands arm, not his life, just so he could take away his ability to use a bow.
Die for Our Ship: Due to the fact that The Avengers has been so successful, and as such been seen by many who never read the comics, Bobbi has recently been getting slated by fans of BlackHawk for the slight of being Clint's wife in the comics. Written as a cheating Alpha Bitch in High School A Us, derailed into cheating and promptly victim of Slut Shaming, or, once, seduced by Natasha into a BDSM session where she's degraded completely and recorded (in the right manner so only Bobbi's face is seen) and leaked onto the internet, then dumped, just because she was Clint's ex and their breakup was messy. Its now almost impossible to find a fanfic about Bobbi that doesn't involve her being attacked and bashed, sadly. Fortunately, with her show coming, and, being that she fits the mold of the type of characters Joss Whedon usually writes, the possibility of her being brought into the film universe may result in balancing this a bit better by swinging some new fans to her side.
Iron Woobie: Lets see...Before she got married, she was in a coma after an explosion, and decided to fake her death so her mother and brother don't have to deal with the dangers of her life. She was drugged and raped when lost in time, leading her to allow the man responsible to die. Then the spirit of her rapist came to her husband and gave him a half story, making it sound like it was a cold blooded kill, resulting in her and Clint's marriage to break down. Just as she was filing the divorce papers, she was abducted by the Skrulls, who played mind games with her at first (with two skrulls using the identities of her teammates so they could try to trick her into sleeping with one), before leaving her on a Skrull planet. She spent years being hunted by them until they found her and tortured her, ending with her killing a Skrull with her bare hands as it took the form of her husband. She eventually escaped but found herself unable to fully adapt to all the changes to the world and had to relive past issues with her now-ex husband (who believed the two were still married). After reuniting with Clint, however, the spirit of er rapist comes back, while Clint's well intentioned attempt to help her resulting in her mom and brother finding out the truth, leading the former to get shot, and the latter to declar he wishes she really was dead, putting her on a slippery slope that ends with the two breaking up again. Then, she gets shot on a mission, to which she nearly died, and the only way to save her leaves her immortal, meaning that, unless they gain immortality as well, she will outlive all of her friends. For someone just barely out of the C-Lister catagory, she's got one shitload of issues.
Older Than They Think: Mockingbird is occasionally accused of being a Black Canary rip-off who was created so that she could date Hawkeye, despite Bobbi Morse having first appeared as a scientist and SHIELD agent in Astonishing Tales in 1971, nine years before she became Mockingbird and twelve years before she even met Hawkeye.
Tear Jerker: Bobbi's mother being shot and her brother refusing to let her see her unless she gives up her life as a spy.
The Skrulls impersonating Bobbi get some as well, with another Skrull telling Bobbi that they honestly believed that they were the real deal, to the extent that one died saving Clint (shortly after saving Wanda) and the second died believing that the man she loved shot her dead.
During their fight in Hawkeye & Mockingbird, the Phantom Rider tells Bobbi that she's wanted to die ever since he found out what he did to her. Bobbi doesn't refute the claim.