I presume this means she'll see other people while we live in the same house. I know she will be discreet but I don't think I can handle it. This issue alone makes me think I need to reject this proposal.
It appears that this is your primary objection and is just an assumption on your part. Make it a condition for both parties.
On BD H52, W50 T27, M26 S21, D23 BD-9-Mar-16 D-15-Jan-18 Final-19-Apr-18 I am a storyteller. The story may do you no good. But a story is never for the listener. It is always for the one who tells
