Hi @sabitondo,
Yes the SILVa SSU database contains both the 16S and 18S rRNA gene sequences.
What was the orientation of the query sequence in the BLAST results? I ask because, the your query sequences must be in the same orientation as classify-sklearn for it to work. If not, you'll likely observe that the returned taxonomy assignments are either spurious or unclassified. One good test would be to use classify-consensus-vsearch, which orientation of your query sequences won't matter. However, orientation will be an issue when trying to construct a phylogeny.
Also, you can try your hand at curating the SILVA database for your own needs via the RESCRIPt plugin, as outlined here, to make sure the curation approach outlined there did not unduly remove any important reference sequences.