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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A father filmed himself killing his baby daughter and posted the video clips on Facebook, before committing suicide, Thai police have said.
The MEP predicted many more could withdraw support for party leader Paul Nuttall as he hit out at the newly unveiled integration policies.
Interesting weather today - the sunshine as strong as late summer, but the air as cold as midwinter.