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We present new intensity and polarization observations of the Taurusmolecular cloud (TMC) region in the frequency range 10-20 GHz with theMulti-Frequency Instrument (MFI) mounted on the first telescope of the QUIJOTEexperiment. From the combination of the QUIJOTE data with the WMAP 9-yr datarelease, the Planck second data release, the DIRBE maps and ancillary data, wedetect an anomalous microwave emission (AME) component with flux density$S_{\rm AME, peak} = 43.0 \pm 7.9\,$Jy in the Taurus Molecular Cloud (TMC) and$S_{\rm AME, peak} = 10.7 \pm 2.7\,$Jy in the dark cloud nebula L1527, which ispart of the TMC. In the TMC the diffuse AME emission peaks around a frequencyof 19 GHz, compared with an emission peak about a frequency of 25 GHz in L1527.In the TMC, the best constraint on the level of AME polarisation is obtained atthe Planck channel of 28.4 GHz, with an upper limit $\pi_{\rm AME}<$4.2$\,\%$(95$\,\%$ C. L.), which reduces to $\pi_{\rm AME} <$3.8$\,\%$ (95$\,\%$ C.L.)if the intensity of all the free-free, synchrotron and thermal dust componentsare negligible at this frequency. The same analysis in L1527 leads to $\pi_{\rmAME}<$5.3$\%$ (95$\,\%$C.L.), or $\pi_{\rm AME}<$4.5$\,\%$ (95$\%$C.L.) underthe same assumption. We find that in the TMC and L1527 on average about $80\%$of the HII gas should be mixed with thermal dust. Our analysis shows how theQUIJOTE-MFI 10-20 GHz data provides key information to properly separate thesynchrotron, free-free and AME components.

QUIJOTE Scientific results. III. Microwave spectrum of intensity and polarization in the Taurus molecular cloud Complex and L1527