Not just admin, if you were thinking of the /wp-admin/ folder in the wordpress zip archive. The wp-includes and wp-admin folders.
If your connexion is slow, you can FIRST upload those two folders to a temporary folder, like (blog root)/temporary/ , delete /wp-admin/ and /wp-includes/ , and then move the contents of /temporary/ one directory above.
See the idea ?
I’ll reassure you, if you only delete this, you risk to lose NOTHING, wordpress is well conceived and your own data lies in specific places : (root)/wp-config.php , (root)/.htaccess , (root)/wp-content/uploads , (root)/wp-content/themes and (root)/wp-content/plugins (those two last folders being for the most of them reinstallable from scratch in a few clicks, unless you created a child theme or stored variations in your theme’s functions.php)
As for the content of your posts, your options, your settings, everything inputted manually, this is stored in your database, that your web host stores in a place that you cannot access manually, it is read/written/backupped in a different manner.
So, the worst that can happen after reinstalling wordpress, is that your problem could still be unsolved.