How flawed is ok?
I'm outlining/plotting a murder mystery. My main character, Alina, has a bit of an anger management problem. Ok, she's a *****.

I overheard this in my head:
Detective Tim Scott looked down as his notepad for a moment. His lips tightened. "Excuse me." He waited a few seconds, and Alina watched his partner shoot a questioning glance his way. "I really have to ask. Are you always this ... cranky?"
"No. You caught me on a good day." Alina pressed fingertips against her forehead. Great. Mouth off to the cops. Perfect way to stay out of jail. She forced her best and brightest smile. "My bad. I'll be nicer." After a few minutes of this, as her cheekbones began to ache and his eyebrow remained up, she let the smile drop. "Gimme a break, ok? You come here telling me that my very best friend is dead. And you think that I killed him."
"We don't think anything, Miss Pittman." Alina glanced at the female officer. Taggart on her name tag.
"Mrs. I'm a widow, Officer Taggart."
She paused, then wrote. "What was your husband's name?"
"Edward." Alina closed her eyes, waiting for the inevitable next question.
"What was the cause of death, Mrs. Pittman?"
"I beat him to death with a suede flogger, used a Violet Wand to fry the body into ashes and flushed him down my toilet." A vein on the side of the cop's neck pulsed, and Alina took a moment of perverse pleasure in the redness of his face. So much for being nicer. "He died in the Ottawa hospital. Cancer. Advanced and rapid lung cancer. I was six months pregnant. I went into labour the day of the funeral and the baby was stillborn. After the house was sold, I came here."
I would consider her flawed! My husband read that and said, "Well, that attitude's going to endear her to the cops." Oh, yea, the part about floggers is because she's a professional dominatrix (suede floggers don't hurt and a Violet Wand is a harmless form of electricity). But you know, she's incredibly honorable and loyal, intelligent, honest to a fault, always keeps her word, determined, a self-starter. She's the sort about which you say "Well, I'm glad she's on OUR side."
Any thoughts?

Can I make a main character out of this woman?