This is a sentimental character piece written in the vein of the Italian 'romanza'. It is musically distinctive for its expressive, sighing melodic gestures that mirror the theatrical themes of contemporary Neapolitan song.
The student must navigate the use of expressive rubato to convey the melancholic nature of the melody effectively.
Comparable difficulty and character — good candidates for what to learn next.
'A vedova! is rated Henle level 4 of 9 — intermediate repertoire, roughly ABRSM grades 5–6. In the RCM system it corresponds to about level 5.
You should be comfortable at Henle level 4 — meaning you can already play level 3–4 pieces cleanly. Learning it one level early is possible as a stretch piece, but more than that usually leads to months of frustration.
A typical performance of 'A vedova! lasts about 4 minutes.
'A vedova! is available as free public-domain sheet music on IMSLP — the score is linked directly from this page.
Pieces at a comparable difficulty and character include 'E vviolette! by Giuseppe De Gregorio, 'O vizio Teresina by Giuseppe De Gregorio, 'O cucchiere by Giuseppe De Gregorio — see the full similar-pieces list on this page.