Needing some advice

I’m a new photographer and have an outdoor cake smash session scheduled for today. However, it has been raining all day so I messaged the lady who booked it and asked if she has any availability for rescheduling. She won’t take no for an answer and is asking me to come to her house (also outside) instead or just take them in the rain because she can’t reschedule. I’ve never run into this before and don’t want to come off rude or hurt my business, but also don’t want to ruin my camera or props and have the photos turn out bad in the process. What’s the best way for me to handle this? Thank you!!