Yes, it remains under your control
Finger of Death
A humanoid killed by this spell rises at the start of your next turn as a zombie that is permanently under your command, following your verbal orders to the best of its ability.
After using finger of death on a humanoid you have a zombie permanently under your control. However, the spell's duration is "instantaneous" which means that this control is not a continued spell effect, it is in fact an inherent part of this creature.
Nothing about true polymorph would remove this permanent control. If you consider permanent control to be part of the zombie's personality, then, in fact, true polymorph explicitly allows it to be kept.
The target's game statistics, including mental ability scores, are replaced by the statistics of the new form. It retains its alignment and personality.
Even if the control is not part of personality, true polymorph has no means of removing the control effect from the zombie.
Jeremy Crawford has said:
One effect doesn't turn off another unless a rule says it does.
The new polymorphed form doesn't matter
It does not matter if the form given by true polymorph is humanoid or not, because the zombie is no longer under the effects of a spell the instant after finger of death is cast. Because there is no spell effect, there are no conditions that can be violated. If finger of death said that it lasted "until dispelled" or for a certain amount of time then this would be entirely different. However, it does not, so no form you can give the zombie would break it subservient state.
Note, however that tou cannot get above a CR 1/4 creature in this way since that is the CR of a zombie and true polymorph says:
the new form can be any kind you choose whose challenge rating is
equal to or less than the target [of true polymorph]