My daughter has just turned 2 and is very independent. When she plays, she will happily play alone for hours, putting her dolls to sleep, giving them bottles, playing with blocks and drawing / colouring in. I sometimes try to play with her, I ask "can I please hold your baby?" Or "can I draw with you?" And she always says no. I know that independent play is an important skill but I feel bad by not playing with her. I'm allowed to play with her outside, like pushing her on her bike or swing, and I spend a lot of time cuddling and reading to her at night, so we do spend a lot of time together. And she sometimes asks hubby to help her build blocks.
So just wondering, should i be trying to find more activities that she'll let me join in with? Or should I just be happy that she prefers to play alone? She's away from us 4 days per week while we work so I'm a bit concerned that she might not be very attached to us.
ETA - she plays happily with other kids in a neutral location but is terrible with sharing her own toys.