One year of low-grade fever (possible infection?)

Hello! I am F25, I don't smoke/drink. My body temperature has been 37.2 - 37.4 for the past year. I have anemia (my ferritin level was 7). Often I feel cold and have chills. I don't have any other symptoms (except for a hard bump under a tooth, which has been there for almost a year, possibly it's a tooth infection). A year ago I had a very bad tooth abscess with high fever, had it taken out and took antibiotics, after that I've had this low grade fever. Could this fever be connected with another possible tooth abscess? (it doesn't hurt though it's sensitive to different temperatures).