Being poor is not dishonorable in the slightest.

Literal

Poor thing [topic-は], anything dishonorable [copula-ではない].

何ら ('in any way, at all') is a formal intensifier for negation — 何ら不名誉ではない means 'not dishonorable in any way whatsoever.' More emphatic than 全然. The sentence is structured as a firm assertion of dignity.