Thank you for sharing your photo.
1) There are multiple reasons that can cause a permanent tooth to grow out into an incorrect position. One reason could be due to an obstruction in the path of eruption, such as a stubborn baby tooth root. As you mentioned, this may be the case for your child, although we are not able to say with certainty until a full examination is done.
2) Permanent teeth can sometimes spontaneously shift into a better position in the mouth.
More commonly, however, some form of orthodontic appliance is required to guide the teeth into a good position.
3) As your daughter has a broken decayed root in her mouth, it is advisable for her to see a dentist for an assessment. If she is attending a local primary school, she can get an appointment with her school dentist or with the School Dental Centre at the Health Promotion Board (https://www.hpb.gov.sg/schools/school-dental-centre).
The School Dental Centre also provides oral healthcare services to pre-school children.
For more information, you can also join us at our 'Smile.Sparkle.Shine' public forum at NDCS on the 24th of March 2018. http://bit.ly/2DQuCh6
Hope this helps!