Bucky was a bit hesitant about agreeing to letting L.L. go shopping alone in a strange city. But he had to remind himself that she was an adult and she was more than capable of taking care of herself.
"Will you at least text me every so often to ensure you're safe on your dress shopping adventure?" That seemed like a fair trade in his mind. L.L. clearly wanted to surprise him with a dress and this would allow her to shop alone while he still had a peace of mind. Not like he couldn't tail her but he didn't want to be that person.