He also said: "Smokin..... PhD?", a reference to his daughter's academic record.
Defending him today one former colleague said: "He is not a sexist pig. He just doesn't have a filter on his mouth".
Mr Carter-Silk, who lives in Cambridgeshire with his wife of nearly 30 years, Jacqueline, 60, was this week accused of an attempt to woo a high-flying barrister that backfired spectacularly.
The solicitor, who represented supermodel Elle Macpherson, complimented Cambridge PhD student Miss Proudman, praising her "stunning" picture on professional networking website LinkedIn.
Miss Proudman responded saying she found his message "offensive" and that she was not on LinkedIn "to be objectified by sexist men".
After being outed Mr Carter-Silk said last night he had made a "prompt and sincere personal apology" over the comments, but Miss Proudman has refused to accept it.
Asked if she regretted it, she said: "To be frank he shouldn't behave in that way and then he wouldn't need to worry about it ruining his career. But I very much doubt it has ruined his career."
She added she did not accept his apology because he said it was "for the offence that I have taken, so there is no acknowledgement that the message he sent was inappropriate or is sexist".
A former colleague today defended the under fire lawyer and said on the Roll on Friday website: "I should say I actually know Alex. He is very outspoken.
"I remember being in a massive conference with a client and counsel and the client made a suggestion.. and his response was 'you know.. that isn't as stupid as it sounds'".
He added he just "says what he thinks" and added "Let's be clear - if this was a mere minion saying that she would not have made such a big thing of it".
Miss Proudman had first contacted him on LinkedIn and the source said: "He DOES have an interest in Human Rights, given that he does privacy work. Her asking to link to him fits that".
The female barrister said today she has been targeted by internet trolls who claimed she had "ruined" her career and would be blacklisted.
But Charlotte Proudman, 27, maintains she was right to embarrass Alexander Carter-Silk and and told critics: "I am not a man-hating Feminazi".
The human rights lawyer told the Daily Mail: "I have received messages saying: 'You have ruined your career. You have bitten the hand that feeds you. There go your instructions from solicitors'."
"I have also had the usual: 'You don't look that great' and 'It's just a compliment'. It just shows the extent of sexism in the legal profession. It does appear to be very bad, particularly because it is male-dominated."
She said she had "a thick skin" but was concerned the threats she received on Twitter about her future were real. "We will just have to wait and see what happens," she said.
Describing the "phenomenal backlash" she said: "I have had vulgar comments discussing my physical appearance in quite some detail, and in a sexual manner, which serves to silence women".
She told the Evening Standard: "Professionals are using LinkedIn as if it were Tinder. There are websites designed for professionals to date. There is no need to use LinkedIn".
A partner in one of the UK's largest criminal law firms suggested Miss Proudman would be "blacklisted" by solicitors.
Franklin Sinclair, of Tuckers Solicitors, wrote on Twitter: "What an awful thing to do, what kind of world do we live in when a man can't give a lady a compliment.getalife. Nomorebriefs4u. (sic)"
When she responded saying she would not want to work for "sexist solicitors", he replied: "I should think you've blacklisted yourself from more than just sexist ones!"
MailOnline has approached Mr Carter-Silk and his daughter for comment.
A spokesman for his firm Brown Rudnick said: "Both Mr. Carter-Silk and the firm have promptly and sincerely apologised to Ms Proudman. We have also assured Ms Proudman that we are committed to gender equality and do not condone any words or actions that depart from that principle".
- Daily Mail
