Profiling a scanner: What does the Media White Point stand for in an ICC profile?

I want to profile my scanner using an IT8.7/2 chart. Analyzing the ICC profile I generated it shows that the Media White Point is close to D65 illuminant (6501K). What does this mean?

It means that it has analyzed the results of your scan and has determined that the illuminant for your scanner is centered on 6501K.

Does it mean that whenever I apply this profile to an image it will have a D65 white point?

It means that when you apply this profile to images that were created using the scanner in question the color will be accurate (to within the limits of your color chart and software).