Ah, I see what you mean. When my music isn't in any particular form I use Italian tempo words such as, andante, allegro but you can also use Italian words that indicate mood such as grazioso, dolce etc. This website below lists the words. I would describe your piece as adagio affettuoso which means slow and with feeling.
https://en.m.wikipedia.org/wiki/List_of_Italian_musical_terms_used_in_English
I listened to your piece a few more times, bars 8 to 11 are really beautiful and the last few bars too. The falling chromatic bass line is really good.