Anko has a dark past which has made her tough. When taking care of Naruto, she may use her own experiences of overcoming difficulties to motivate him. She could tell him stories of how she faced her own demons and came out stronger. This would give Naruto the confidence to face his inner struggles, like controlling the Nine - Tails' power. Her sarcastic sense of humor could also make their interactions more interesting and help Naruto not take himself too seriously all the time.
Anko is a bit of a wild card. Her bold and fearless personality means she might push Naruto to take risks in his training. For example, she could encourage him to face stronger opponents earlier than he might otherwise.