Sure

You take a look down the elevator shaft. There are cables you could slide down or framework you could climb down. But obviously flying would be easier.

"Yeah sure. Why not?" you reply. Supergirl once again grabs you, but this time, with the closer quarters in the elevator shaft, she holds you in more of a hug-like position, face to face, pressed against each other. You decide to return the hug, if for nothing more than symmetry. It also makes you feel a little less helpless while getting carried around.

"Comfy?" Supergirl asks with a smile. You give a nod and return the smile and the two of you begin your journey down the elevator shaft. And speaking of shaft, the current situation has yours stirring. There are a few layers between the two of you, but you're essentially pressed as closely together as possible. Thankfully, you reach the top of the elevator car before things can get awkward. The two of you separate as you land almost silently. Supergirl appears to be scanning the elevator with her x-ray vision. She gives you a thumbs up as an all clear signal. You pull up the hatch and the two of you drop inside. The control panel is a keypad with some sort of scanner, so Supergirl just pulls the door open. You step out into a plain white hallway. There's only one way to go, so the two of you walk side by side down the hallway. Without warning, several panels push in from the walls and ceiling, revealing turrets of some sort.