Unfortunately we can't see enough detail to concretely ID the insect, but are happy to look at more photos if you still have it and can take a clearer photo. Placing a ruler next to it will not only give us a sense of scale but can help the camera focus on the details. We can say that it does not look like a cockroach or termite, and it might be a beetle, which would probably not be related to any water damage. If the room sits near an exterior wall that has an outdoor light, many night-flying insects are drawn to porch lights and other sources of night light, and then can wind-up indoors as they wander about afterwards.

Miri

Thank you so much for the quick reply. I thought it looked like a beetle but was thrown off by the wings.

You're welcome.