PuTTY is glitching out when I try to install wordpress

Curl is outputting the response to the screen. You need to send the output to a file, like this:

curl https://wordpress.org/latest.tar.gz -o wordpress.tar.gz

Note the lowercase ‘o’, and the presence of a filename after that argument. You can name the file whatever you want. With this exact command, it will be downloaded into whatever folder you are currently in.