This question sounds like it came from a pagan or non-Catholic. "force" a girl to give birth? How about NOT KILL the BABY that is inside of her.
The world infects so many, even those who claim to be Catholic!
Anyhow, there are only 3 outcomes in this hypothetical (practically academic!) scenario.
1. Nature and God's laws are respected, and the girl delivers the baby. She might give the baby up for adoption. Her rape is a bad memory, but at least her femininity and emotional/spiritual well being are preserved.
2. She has an abortion, with the idea that "it's not a baby" and becomes another Hillary Clinton when she grows up -- that is to say, everything that is feminine, sweet, or gentle in her would be dead. She'd grow up and pursue a lifestyle that would make Hillary Clinton proud. She would still be somewhat emotionally/psychologically scarred though, since you can't truly fool nature. She would be psychologically, spiritually, and emotionally damaged goods for the rest of her life.
3. She has the abortion, with the idea that it IS a baby. She is psychologically, spiritually, and emotionally damaged goods for the rest of her life.
The short-term discomfort of giving birth (yes, I'm calling giving birth "discomfort") is nothing compared to life-long spiritual, psychological, and emotional scars that are inflicted by abortion upon the mother. The only attempted way out is to totally brainwash and destroy every ounce of femininity she has -- and even then, she ends up popping pills, etc. to deal with the long-term consequences. So either way, if she chose abortion, the pain and damage would last a lifetime.
Ask anyone suffering spiritual or emotional pain if they'd rather have a root canal this afternoon in exchange for ending ALL the emotional/spiritual pain they are going through. They'd choose the root canal in a heartbeat -- you can't compare spiritual/emotional pain with physical pain.