最近のぼくは、「生き恥」「赤恥」をかくことを恐れなくなりました。

、「」「」。

Lately, I've stopped being afraid of embarrassing myself or being publicly humiliated.

Literal

Recent [possessive-の] I [topic-は], 'living-shame' 'red-shame' [object-を] incur [nominalizer-こと][object-を] afraid-of not-became.

生き恥 'the shame of living (in disgrace)' and 赤恥 'public humiliation' (literally 'red shame' — blushing shame) are two distinct shame concepts. をかく 'to incur, to suffer (shame)' is an idiomatic verb pairing. 恐れなくなりました 'came to not fear' — the ~なくなる pattern for 'stopped doing.'