The electron magnetic moment is about 660 times larger than that of the proton, and the proton's magnetic moment is the largest of all the nuclei. Although most electrons occur in pairs, unpaired electrons, as they occur in radicals, give rise to electron paramagnetic resonance (EPR) signals.
Signal frequencies in magnetic resonance are, to a very good approximation, proportional to the magnetic moment (unless the external magnetic field becomes very weak or in the case of large quadrupolar splittings).
In a typical nuclear magnetic resonance (NMR) experiment one would thus observe either the proton or the $^{13}$C carbon NMR signal (much like listening to different FM radios). For a 10 Tesla magnet, these would have frequencies of approximately 400 MHz and 100 MHz, respectively. It is possible to excite proton or carbon NMR simultaneously, but this requires two channels, tuned to the respective (radio) frequencies.
On the other hand, an electron spin would precess at a (microwave) frequency approaching 300 GHz, requiring different excitation and detection pathways (waveguides rather than coaxial cables, and cavity resonators rather than $LC$-resonators).
However, the presence of free electron spins may manifest itself in the NMR detection via reducing the relaxation time $T_1$, a phenomenon known as paramagnetic relaxation enhancement (PRE).
Best Answer
The main purpose of microscopy is to observe things that cannot be or are hardly observed by naked eye. To justify the purpose one can utilize everything that suits the purpose. For example, it can be different light paths coming from different parts of a sample or different reflection from different parts of a sample etc. Or in terms of AFM it can be different interaction forces between tip and different parts of a sample. So whatever physical quantity which varies depending on the position on a sample can be utilized to produce an image. And so can be utilized different spectroscopic features (intensity, wavelength, phase, FWHM of a peak etc.).
The main purpose of spectroscopy is to understand how matter responds to light (or electrons, whatever), to find one-to-one correspondence between spectra and material internal structures, to classify thus materials according to their reaction on light and so on. In this case acquiring image is not necessary, just spectra would be enough.
As a conclusion, microscopy and spectroscopy differ by their historically initial purposes. However they can cooperate effectively with each other. For example, as was said above, one can make an image utilizing the power of spectroscopy. Or, vice versa, one can use the power of microscopy to acquire spectrum from a tiny spot of a sample (either on surface or inside).
And here is the answer to the related question:
Taking all of these into account, considering given two words, we should separate prefix from the main part of the word. For example, in the word "microspectroscopy" the main part is "spectroscopy" and the prefix is "micro", so it is spectroscopy in the first instance. But it utilizes the power of microscopy. I think you can now deduce the meaning of "spectromicroscopy".