The most accurate way to describe the excerpt is, it is a dependent clause.
The<em> dependent clause</em> does not express a complete meaning of a sentence. it includes a subject and a verb. These clauses include adjective clauses, adverb clauses, and noun clauses.
In the above sentence, <em>"since our priority was to identify the origin of the alien’s signal."</em>
It contains adverbial clause.
An adverbial clause begins with the subordinating conjunction such as if, although, because and so forth.
In it, <em>'since'</em> is subordinating conjunction and <em>'our priority'</em> is an adverbial clause.