vue createで作ったフォルダでnpm install -d tailwindcss　をやると
npm WARN tailwindcss@3.0.7 requires a peer of autoprefixer@^10.0.2 but none is installed. You must install peer dependencies yourself.
npm WARN tailwindcss@3.0.7 requires a peer of postcss@^8.0.9 but none is installed. You must install peer dependencies yourself.
npm WARN postcss-nested@5.0.6 requires a peer of postcss@^8.2.14 but none is installed. You must install peer dependencies yourself.
…省略…
こんな感じですね。