After installing a new pool liner will the one corner that is bulging out going to stretch into place?

It's unlikely that a bulging corner of a new pool liner will stretch into place on its own. The liner may need to be adjusted or re-seated to ensure it fits properly. Factors such as water pressure, temperature, and the liner material can affect its ability to conform to the pool shape. If the bulge persists, it might be best to consult a pool professional for assistance.