There is rarely one right answer. Here are several categories of pairing options, each with a reason it may work.
Wine
Similar lightness for a subtle, tone-on-tone pairing with minimal contrast.
Burgundy
Similar lightness for a subtle, tone-on-tone pairing with minimal contrast.
Garnet
Similar lightness for a subtle, tone-on-tone pairing with minimal contrast.
Tyrian Purple
Similar lightness for a subtle, tone-on-tone pairing with minimal contrast.
Ruby
Enough lightness contrast to read as two distinct colours without feeling harsh.
Crimson
Enough lightness contrast to read as two distinct colours without feeling harsh.
Cerise
Enough lightness contrast to read as two distinct colours without feeling harsh.
Mulberry
Enough lightness contrast to read as two distinct colours without feeling harsh.
White
Strong lightness contrast and saturation for a bold, graphic pairing.
Mint Cream
Strong lightness contrast and saturation for a bold, graphic pairing.
Off-White
Strong lightness contrast and saturation for a bold, graphic pairing.
Ivory
Strong lightness contrast and saturation for a bold, graphic pairing.
Lime
A saturated accent from a different hue family for a deliberate pop of contrast.
Cyan
A saturated accent from a different hue family for a deliberate pop of contrast.
Spring Green
A saturated accent from a different hue family for a deliberate pop of contrast.
Chartreuse
A saturated accent from a different hue family for a deliberate pop of contrast.
White
Meets WCAG AA contrast (10.1:1) for normal text if used as text/background.
Ivory
Meets WCAG AA contrast (10.0:1) for normal text if used as text/background.
Mint Cream
Meets WCAG AA contrast (9.9:1) for normal text if used as text/background.
Azure
Meets WCAG AA contrast (9.9:1) for normal text if used as text/background.