Левая выровняйте этикетки Y-Tick | Снимите текущие этикетки

# Assume the rest of the code is written

ax.set_yticklabels([]) # an empty list removes the labels
country_names = top20_deathtoll['Country_Other']
for i, country in zip(range(20), country_names):
    ax.text(x=-80000, y=i-0.15, s=country)
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