  We characterise the measurement sensitivity, quantified by the Quantum Fisher
Information (QFI), of a single-fermionic thermometric probe strongly coupled to
the sample of interest, a fermionic bath, at temperature $T$. For
nonequilibrium protocols, in which the probe is measured before reaching
equilibrium with the sample, we find new behaviour of the measurement
sensitivity arising due to non-Markovian dynamics. First, we show that the QFI
displays a highly non-monotonic behaviour in time, in contrast to the Markovian
case where it grows monotonically until equilibrium, so that non-Markovian
revivals can be exploited to reach a higher QFI. Second, the QFI rate is
maximised at a finite interrogation time $t^*$, which we characterize, in
contrast to the solution $t^* \rightarrow 0$ known in the Markovian limit
[Quantum 6, 869 (2022)]. Finally, we consider probes make up of few fermions
and discuss different collective enhancements in the measurement precision.
