The Supreme Rama who is dharma personified, did as he was instructed by Mata Kaikeyi.
He started out to dwell in the dandakaranya, literal meaning being “Forest of Punishment”, so called because it is a fearsome unsafe jungle region teeming with rakshasas and wild animals, ever ready and waiting to kill people travelling through the route.
It may be noted that when Raghunatha returned, it was Yudhajita Sahodari who was the most excited, happy and relieved.
After all, she was the one who told and retold countless bedtime stories to the God of Gods.
The relationship between the son and his mother (for Rama, all three Mother Queens were his mother) remained the same, a relationship of great love and affection.
You could go on and on about Shri Rama, what say.
So that is the answer.