No, she is not infringing on anyone's copyrighted work.
All she has is a hyperlink on her site to another website, the owner of the website the hyperlink points to is the person threatening DMCA complaints. The website she points to is the authentic work of the owner of the website.
According to chillingeffects.org and the EFF a hyperlink does not infringe on copyright, the hyperlink does not reproduce anything, it simply points. When you have a website on the web, the website is public, and anyone can freely link to it, because that's what the web is, links.
Moreover, there has been no successful lawsuit in the courts against the use of hyperlinks that point to authentic material, according to chillingeffects.
Such a DMCA complaint is therefore frivolous, and should be ignored, however the search engines may not investigate DMCA complaints, and simply take the site down, which is wrong, and promotes abuse. I have read that more or less 30% of all DMCA complaints are abusive, which is definitely a chilling, if it is fact. Also it is quite easy to fake your name and signature and file a completely false DMCA complaint to have a competitors site removed from the search engines for 10-14 days.
There have been _no_ DMCA complaints filed yet, only threats, but I'm waiting for one, and I'm interested to see what sort of action google takes. If google removes the site, then obviously they havn't investigated it, because hyperlinks don't infringe on copyright, surely google would know that, being a search engine. Also, as I stated before, the link is soley there based on principle.