"We are able to read quietly in the library."
Translation:In bibliotheca tacite legere possumus.
thought word order did nut matter.
Word order matters just as much as it does in any other language. Latin has a relatively free word order, but the order of words still carries meaning.
In a neutral word order, the adverb (here, tacitē) typically precedes the verb it is modifying: tacitē legere.