My point of view clearly influenced her thinking. I had no idea she was a * (person who will fairly evaluate points of view that conflict with her own).
not influenced by personal feelings, interpretations, or prejudice; based on facts; unbiased:
I had no idea she was an objective person.
Conflicting points of view are best weighed by someone who is
treating all rivals or disputants equally; fair and just.
"independent and impartial advice"
synonyms: unbiased, unprejudiced, neutral, nonpartisan, nondiscriminatory, disinterested, detached, dispassionate, objective, open-minded, equitable, evenhanded, fair, fair-minded, just;
open-minded [oh-puh n-mahyn-did]
1. having or showing a mind receptive to new ideas or arguments.
2. unprejudiced; unbigoted; impartial.
unbiased: showing no prejudice for or against something; impartial.
A 'listener' might be as far as I'd want to go with the context you provided:
- listener - someone who listens attentively.
[listener. (n.d.) WordNet 3.0, Farlex clipart collection. (2003-2008). Retrieved January 18 2016 from http://www.thefreedictionary.com/listener .]
You can tell she's a listener, because she heard what you said and evidenced hearing you by taking what you said into account.
In political or public policy debates, the term honest broker is sometimes used for the kind of person you describe. The term isn't appropriate for the specific sentence you provided, as it is used more for someone serving in the role of mediator or advisor, but I thought I'd add it to the mix in case you might find it useful. Here's an example:
According to Pielke, “The honest broker of policy alternatives engages in decision-making by clarifying and, at times, seeking to expand the scope of choices available to decision-makers.” In this model, a group of experts attempts to identify and contextualize a broad menu of potential policy options to solve a problem. This differs from issue advocates, who only discuss their favored options rather than a broader portfolio.
Roger Pielke, Jr., mentioned in the quote above, is the author of a book called The Honest Broker: Making Sense of Science in Policy and Politics in which he discusses various roles for scientists to play in public policy debates, including that of Honest Broker or other roles, such as Issue Advocate.