Final answer:
The words that fill the blanks in the sentence about the popular candidate correctly are 'support' and 'criticized', indicating positive backing from most of her constituency with some negativity due to past financial mistakes.
Step-by-step explanation:
The word or words that best complete the sentence 'Although the popular candidate received support from most of her constituency, there were still those who criticized her because of a past mistake in her personal finances.' are 'support' and 'criticized'. The term 'support' fits appropriately because the context implies the candidate had positive backing from many of her constituents. Conversely, 'criticized' is suitable as it suggests the negativity from others due to her financial error.