There has been no specific information from where we could know what is Guyleen Castriottas exact political affiliation.
Since she has been running for the mayoral election it is not sure either she is republican or democrat, but most likely we can assume she is independent.
As her opponent candidate is getting support from the republican party, we can assure that Guyleen does not follow the ideologies of republicans.
Apparently, she has been explaining that she will be working for the people of Broomfield representing the city itself rather than a political party.