The easiest way in your particular case is to change the translation of WordPress. Download the file /wp-content/languages/ru_RU.po , use poedit edit it. Replace the translation "Username" instead of "Имя пользователя" with "Имя пользователя - вводить только латинскими буквами без пробелов" . Save .po .
If you find it difficult, you can change .po in a text editor in the area of line 10561 (for WP 4.7.2 ). Then open this .po with poedit and save.
After saving via poedit a .mo file appears. Upload it to the site in the folder above, with overwriting.
Everything.
UPDATE
As correctly noted in the comments, this method will live only until the WordPress update. It is better to insert the following code in the function.php your theme:
function filter_gettext( $translated, $original, $domain ) { // Если не основной текстовый домен WP - ничего не делаем if ($domain !== 'default') return $translated; // Текстовая строка должна быть в точности такой, как в файле перевода if ( $translated == "Имя пользователя" ) { $translated = "Имя пользователя - вводить только латинскими буквами без пробелов"; } return $translated; } add_filter( 'gettext', 'filter_gettext', 10, 3 );
As a result, we have:

A working example is here .