My bottom row teeth have recently slanted and are crooked due to a infection in my gums. is it possible for my teeth to be straightened out?

Possibly...: ... but impossible to tell for sure without an exam and radiographs. If they have shifted, you may have gum disease. That issue will need to be addressed before any orthodontic treatment can be considered.

See your dentist: Crooked and misaligned teeth not only interfere with proper chewing, but may also increase your chances of gum disease. If any of your teeth are facially displaced, spaced or crooked, it can be a sign of advanced gum disease and bone loss. See your dentist for evaluation, x-rays and treatment.

Possible: Can't tell without more information. See an Orthodontic Specialist for an initial examination (usually free or low cost). The Orthodontist can then work with your Dentist and possibly a Periodontist (gum specialist) to restore your mouth to optimum health. Ask your Dentist to recommend the best "adult orthodontist" in your area.