Definitely stick it out, but aside from that I have a simple suggestion - just take it a little bit easy at first. Playing until your fingers bleed (or even close to it) is counter productive because then you'll have to take enough time off to heal. Better, in my opinion, to keep your practice sessions a little shorter than you'd like, but keep practicing every day.
Let your fingers be your guide. When they get sore to the point that it's harder to form chords because of the pain, stop. Maybe you'll only get 10-15 minutes a day at first, but keep at it - callouses will form and your practice sessions will gradually get longer.
Good luck -
Mark