daddy issues

so i have this thing where i play daddy with a sub and its been going on for like 6 months now. im a grad student in my late twenties and she's also 23 or something close to that, we met online first so yea its all consensual. but lately it feels like shes pushing the age-play stuff further, wanting me to act more like a dad instead of just a daddy for her kinky scenes. i dont know if i can do that, be more paternal than sexual dominator, and she keeps telling me im not strict enough, which is weird cus i thought i was being clear on my boundaries. we had this one session where she did something naughty and i disciplined her but it felt... awkward, like i was supposed to feel like a parent not just her kink daddy. now shes asking for more of that type stuff, grounding and curfews, which is wild cuz im not into parenting even if its pretend. i dont want to stop the fun kinky parts but this growing towards something else feels wrong, too much like i have actual responsibility or some shit. i know its just a game but it still gets to me sometimes.