Well, you made this thread because of the discussion with Tazilla, didn't you?
Well to answer your question: yes!
Why?
Because she is a medical ninja and knows how brain works and because she has shown to heal Tsukyomi in an instant.
Why she would be able to break it? Well, as we know, genjutsu has to do with chakra disturbance. Well, as Tsunade has perfect chakra control she could break it with regular ease in 3 ways.
1. Her perfect chakra control.
2. Her seal which is an outer source of chakra (that's what you need to break tsukyomi so that's why I believe she would be able to break even from Tsukyomi. Still not 100% sure)
3. Katsuyu which is an outer source of chakra as well.
So yes, regular genjutsu would not be a problem for her, but I don't know about Tsukyomi though.
And your poll has some wrong answers to be honest...