OK, so if you always went WITH her then making new friends would be different... going out to things while she was at home is different...
My advice would be to schedule outings with friends and invite her along, casually, giving her again the choice.
Let me think on her handing the choice back to you.
But right now I think if she does hand the choice to you on coming along I think the best answer is :
Of course I would like you to come with me. I always enjoy your company. I miss you when you're not there. I do understand however if you don't want to go to this one.
Feel free to modify this a bit, but I think its casual enough that there's no pursuit in there, it scores you a few points on flattery as well.
