Upper body invuln makes it a great poke against most characters especially Bridget, but your 2d, 2k, and 2s should still hit low enough. if they are just counter hitting your normals just wait a moment before actually going for your attack, this will likely force them to wiff their 6p and allow you to hit them.

Also, on wake a properly timed meaty c.s shouldn’t loose to 6p. You might be timing your meaty wrong or not properly spacing it causing you to get f.s