The name is certainly not Nubian, but sounds Semitic instead. In Arabic, ابلي means 'camel breeder', 'camel driver', but the name in its only attestation is definitely belongs to a woman, which makes such an interpretation highly doubtful.
The name is perhaps a variant of Apeli (Nam 200550).
Meaning: If this is Old Nubian name, it perhaps derives from ⲁⲅⲟⲣ-, 'to forget' + -ⲁ (predicative) = 'the one who forgets'. However, it also may be interpreted as Arabic name, Hājar.