Doumo, Butsuyoku no Seijo desu: Musou Skill [Clear Houshuu] de Seidai ni Kanchigai Saremashita

The story centers on Materi, a high school girl who is suddenly summoned to a kingdom in another world, with a supposedly powerful skill in her. But the kingdom's ruler deems Materi's "Clear Reward" skill useless, and exiles her, thus activating her skill. As it turns out, Materi can gather rare weapons and useful items just by clearing the trials given to her. Materi becomes obsessed with acquiring skills and gathering items.

(Source: Anime News Network)