Hrm....Thinking about it I can see how that would be a problem...There's the issue of powers useable in fighting crime. Pigs have a good sense of smell and hearing, they're smart...But other than that...I dunno. A minus would be poor eyesight.
Maybe something like Wolverine where how he has animal senses but also how he has his adamantium skeleton and healing factor.
Maybe combine a pig's abilities with some other powers to balance her out? owo?
I'm doing something similar with an X-Men-style mutant named Minotauress. She has super strength, a good level of invulnerability, and a highly dense skeleton including her horns, hooves, and knuckles. :3 ---She also carries an axe made of the same stuff Captain America's energy Shield is made of for portability sake.
I was thinking less fighting crime and more a Superman-esqe alien from a planet of hybrid pigs, that have been conquered and are being used for food. The heroine would be looking for a way to get home and save her people.