Not sure what you mean with buzzwords, did you look for "rimmel font" or for typographical terms.
If just the first and if you're new to typography, this style is called a high contrast sans serif. Contrast being thin strokes combined with thick strokes, and sans serif being the absence (sans) of curly endpoints (serif).
Looking through one of my favorite (free commercial) font sites, fontsquirrel, I sadly only found one such font, COM4T Fine Regular:
But there are plenty of fonts and sites with all sorts of prices. For example: Grenoble (1 weight free, full pack $15), Darjeeling ($30 per weight), Vanitas ($42 per weight) or the classic Bodoni Sans ($34 per weight):
Or you could look for a didone or didot font, which actually have serifs, but they are very thin (called hairline serifs), and get their high contrast through that as well.
Two examples from fontsquirrel are Anglecia Pro Display and Theano Didot: