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
More top news
Mild in the south but colder in the north tonight and turning frosty and icy - before rain moves in.
The flame-haired prince told youngsters in Africa he did not enjoy Eton and is "much cooler" than his older brother.
Some Scottish social media users were left confused when Facebook offered them a Romanian flag, not a Saltire, to mark St Andrew's Day.