The phrase "especially critical to" is correct and can be used in written English.
"Especially critical to" means "extremely important for" or "particularly necessary for". Example: The role of education is especially critical to the development of a society.
The young infielders are especially critical to the Brewers' future.
Foreign air power is especially critical to cover the mountainous regions near the Pakistani border.
Rules for timing and stopping were especially critical to their success.
Especially critical to Obama will be whether Democrats facing tough re-election battles next year stand with him on Iran.
Two telescopes in Arizona and one in Spain provided key long-distance detections that were especially critical to the project.
This is especially critical to the 40% of public school teachers who are not in Social Security.
Founders who decide to bootstrap have an especially critical need to formulate an effective business model and begin earning revenue very early in the company's life.
Especially critical appears to be the phosphorylation/dephosphorylation cycling of S75, as replacement of this serine with either D or A reduced the SDS-PAGE pattern of the protein to either two or one species, respectively.
This is an especially critical tool to use when you find you need energy (such as at night with the battery at a low charge).
We live in a time where it is especially critical for women to find the courage to speak their truth.
The usual lack of symptoms as kidney disease progresses is especially critical for patients to understand, because many fail to seek medical care or follow medical recommendations when they feel well.
