Selecting elements by class attribute value certainly is not "one of the most performant ways" to select an element. On the contrary: jQuery's Sizzle is very slow by comparison, especially when a class simple selector is involved.
Instead, one of the more efficient ways to select an element is by ID. You should do this if there is only one relevant element, as IDs must be unique in a document. It would probably be best then if you used the now-ubiquitous document.getElementById() method, and only created a jQuery object if it is absolutely necessary.
But you should check first whether it is necessary to select elements at all. DOM APIs have several other, more compatible entry points to refer to an element object, among them this (in event-handler attribute values and event listeners), event (in event-handler attribute values), and element collections and node lists. Event bubbling also is ubiquitous by now, although not all events bubble in all implementations.