Is it permitted for a woman to shave parts of her body on Chol Hamoed?[1]

Yes. It is permitted for a woman to shave her body hair, such as the hair of the armpits and Ervah, on Chol Hamoed.[2]

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^[1] 546:5

[2] The reason: As the head hair was decreed against cutting being that they did not want one to enter the holiday looking like he needs a haircut, and this reasoning does not apply to other body hair. Thus it is permissible for any woman to shave for beauty reasons. However to shave for no reason would not be permissible just like any work that is done without a Moed purpose. [See Shaar Hatziyon 531:15; M”A 531:12]