Is white discharge normal during an early pregancy?

Yes. Some mild white vaginal discharge is normal during pregnancy, and is likely due to the body responding to hormones. If the discharge ever becomes excessive, foul-smelling, cottage cheese-like, or associated with itching or discomfort, you might consider bringing it up with your doctor. In addition, if you have any vaginal bleeding or a gush of vaginal fluid, seek medical attention right away.
Probably. Much of early pregnancy discharge is normal. In such situations, there is generally not a foul odor, itching, redness, etc... May want to get it checked out, just in case.