Hi @Nicholas879
Airbnb won't get involved in any arrangements you have made as the STR owner for a sub contractor to manage your property.
What does it say in your contract with your cohost about payment and what happens should either of you choose to end the working arrangement?
I am a cohost and I would never suggest a client puts their listing under my profile as it is not in the client's best interests. However the larger property management companies and some unscrupulous cohosts do this because it's better for them.
It really is up to you as the STR owner to understand how the STR platforms you use work and the implication of allowing a cohost to set your listing up under their profile on Airbnb etc.
Your cohost couldn't have set your listing up under her profile unless you agreed for her to do so, so you do need to take some responsibility here for not doing your due diligence.
My suggestion
1. Set your listing up under your own profile
2. Block out dates where your cohost has bookings.
3. If you don't have this arrangement in place already (you should) tell the cohost to add you to your listing under her profile as the main host or at least the cohost and set up for you to automatically receive payments for your booking (how do you currently get paid) in this way you can have access to guest messaging
4. If you don't receive the payment promptly for the first booking and you aren't added as a cohost (and you have no contract) I would be tempted to not honour any subsequent bookings (please not this is not legal advice).