The phrase "another critically important factor" is correct and usable in written English.
You can use it when discussing multiple significant elements or considerations in a particular context or argument.
Example: "In addition to budget constraints, another critically important factor to consider is the timeline for project completion."
Alternatives: "an additional key element" or "one more vital aspect".
The winter ecology of most grassland birds is poorly known; winter survivorship could be a critically important factor in the long-term declines that some species have experienced.
The efficient implementation of our algorithm for ordering transactions is a critically important factor in achieving good performance.
Preston believes it is a "missing link, a vital but unrecognized part of the story," which has sometimes "constituted a critically important factor".
The force includes about 500 Sunni Muslim tribal fighters trained by U.S. advisors, a critically important factor in an area whose predominantly Sunni population distrusts the Shiite-dominated army.
Women's land rights are a critically important factor in this equation, as we know that they are correlated with increased empowerment, distribution of benefits and better outcomes for not just women, but whole families.
It's clear that the major emitters wanted to ratify Paris in early 2017 at the latest, a step which not only locks in the US but also accelerates all of the processes embodied in the bottom up Paris agreement - a critically important factor in maximizing the odds that the next round of global commitments, due in 2019, are as ambitious as possible.
Size is a critically important factor, scientists said: If a planet is about 50% wider than Earth, and if it's packing a lot of mass, its gravity could attract an envelope of hydrogen and helium, shrouding the surface in a gassy atmosphere that's too thick for Earth-like life.
Size is a critically important factor, scientists said: If a planet is about 50% wider than Earth, and it's packing a lot of mass, its gravity could attract a hydrogen-helium envelope, shrouding the surface in a gassy atmosphere that's too thick for Earth-like life.
In summary, this study demonstrates that the integrity of influenza vaccine as represented by HA activities is a critically important factor for determining antibody isotypes, inducing functional antibodies, and providing effective protective immunity as well as recall immune responses to influenza.
