Hello sir,
As I understand your daughter is still in her growing age,so it's normal to see a certain level of misalignment in the teeth pattern. Nothing to worry about.
However, if you feel the teeth are far too much misaligned and she is having pain around her ear or clicking sound while opening her mouth, then you may consult an Orthodontist.
Next Steps
As for gum swelling,you can buy a Chlorhexidine mouthwash for twice daily use. Visit a dentist for a better check up advice.