I think what sticks out most is not that you're searching around, but that you feel the need to tell her ASAP. That has to result from pretty strong guilt.

I think if someone were to tell me ASAP that they'd been searching about me, I'd be a bit more wary than if someone were to have searched about me and I found out later in like casual conversation.

Like "oh yeah I stumbled upon your boyfriend's name online" with a little embarrassment during casual convo vs. an urgent text or email of "I found your boyfriend's name on this donation page..." with a lot of guilt.