Yasmin Alibhai-Brown said she did not accept the "apology" issued by Tory MP Mike Fabricant, after he tweeted about punching her in the throat.
Writing on Twitter, she said his comments were a "violent urge" and "unacceptable".
@mike_fabricant the tweet was offensive & your 'apology' useless. Tories like you think people like me should be ayahs or selling you curry
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The Friends star had reportedly not seen her mother for several years following a feud - but reconnected with her shortly before she died.
A deal is believed to have been reached with official confirmation likely on Friday.
The woman is described as being around 50 years old with short spikey purple hair.