YTA, for one, she told you what she wanted and you argued that what you wanted for her was better. She very clearly communicated what she wanted, and you made it a ‘I know what you want more than you do’ argument. She’s 14, and she is able to start being an individual about her appearance. And for two, she wasn’t insulting your nails, you took her preference it personally. Three, your comments made it pretty clear that your feelings are hurt, so yes you’re the asshole. And lastly, press on nails do not look good long term the same way any salon nails do. Acrylic, SNS, gel polish, or even a regular polish manicure. Mail technicians care for your cuticles and overall nail health. Sincerely, a nailcare snob :P