Your game is not yet in the search catalogue of Itch.
You can promote it anyway, as direct access to the game link is not hindered by this. Also, search engines do not really care much about this anyway. https://duckduckgo.com/?q=SpaceSouls-AQuickEnemytest&ia=web has your game on #1.
Waiting time for getting "indexed" is either a minute or a variable time between a few days and a few months. Waiting times longer than 30 days are rare, but it happens.
To check if your game is indexed, search your username. https://itch.io/search?q=gnsolo