Our answer to When breaking apart an Ad Group that has a long history, how does one most effectively treat keywords that don’t belong, but have high QSs?
Google stores QS at the keyword-ad pairing level so there will be some sort of reset once breaking apart that pairing and putting those keywords into a new ad group so there may be some near term quality score pain, but the long term benefit of having a well organized campaign with small and focused ad groups cannot be understated.
By leaving that keyword in the broad ad group you are essentially saying that you don't want to understand the true potential of that keyword to your business because you'll likely only be able to place generic creative that uses DKI (dynamic keyword insertion) against it. If you can customize and test ad copy against that keyword, there is the potential of driving a much higher CTR, Conversion Rate, and long term QS. Also, if this is a good QS keyword for you now, it won't take long for Google to recognize that you deserve a good QS on that term in the new structure.
Take the small hit now as it increases your flexibility and performance potential over the long term.
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