I work as the team lead / technical lead where I work in a team of 8. I have been with my current company for just short of 7 years and am well respected by both colleagues within and outside the team.
Last week in a meeting with one of the more junior team members, she told me a member outside the team made a racially discriminatory / crude remark against people of her minority class. She is originally from a non-western country and had been in the USA for much shorter than I, approximately 10 years less. The remark was made using a racial slur and basically stated that immigrants from her country don't belong here and are unwelcome.
I was upset. Although I am not a manager, I am in a senior position on the team and am accepted as a lead. It is my belief that no one should be harassed or made to feel unwelcome at work due to characteristics such as national origin and race that one cannot control. The remark was wholly unbecoming, unwelcome, and unprofessional for anyone to make.
I stated my agreement that such discriminatory remarks are unbecoming, and provided links to company policies prohibiting harassment and discrimination in addition to stating clearly I support her. I stated what the company stance on such matter is as they are documented without interpretation by me. I also said I was open to her if she wanted to to talk or for me to escalate to my manager.
Today I was surprised by feedback from her that she thought I was intrusive and seemed bothered that I may be doing too much. She said she just wanted me to know, nothing more.
Did I commit a faux pas here?
If I misread the situation, how could I do better in the future (Fingers crossed that it won't be necessary)?