How long do u have?

I am 39 weeks (have an induction date set) and we still cannot decide on a name. We don't even have it narrowed down. It's so hard because this is such a permanent thing. Maybe we're thinking too much into it. A lot of our friends and family say when we see her we'll just know what fits her or what name she looks like. I'm not so sure. How long do we have to decide on her name? Do we have to have it picked before we leave the hospital?! What if we really can't decide still even after she's born?! #worried #stressed