It is still unclear whether hyperquenched water (i.e., amorphous glassy water) heated to about 140-150 K remains glassy until it crystallizes near 154 K or whether instead it turns into a supercooled and very Viscous liquid. It has been proposed that the glass transition temperature (T-g) for water is 165 K and not, Lis previously thought, 136 K [V. Velikov et al., Science, 294, 2335 (2001)]. Support for both interpretations exists in the literature, since the T, of water is difficult to measure due to the formation of metastable cubic ice (I-c) near 154 K. To address the nature of water in the 110-160 K temperature range. a con focal microscopy approach is used to Study whether single-probe molecules (i.e., Rhodamine 700, Rh-700) embedded in hyperquenched glassy water (HGW) rotate in the temperature range of 110-160 K. If T-g is 136 K and the liquid above this temperature is fragile (or strong with the fragility index m > 7), then rotation of the Rh-700 molecules should be observed several degrees above L. It is shown that no anticorrelated fluorescence intensity changes of single molecules in HGW (when excited at orthogonal polarizations) were observed Lip to temperatures of 166 K. although Such changes were detected in control experiments performed for hyperquenched glassy ethanol (fragile liquid) at 99 K, that is, at T-g + 2 K. The viscosity at which single Rh-700 molecules rotate in ethanol at 99 K is estimated to be about 10(12) poise. Since single-molecule spectroscopy did not reveal my rotation of probe molecules in HGW above 136 K, we conclude that water above 136 K is most likely a solid (i.e., glass), Supporting the assignment that water remains glassy until it crystallizes near T = 154 K. It cannot be excluded, of course, that the value of m for water is smaller than 7 (i.e., water above 136 K could be an extremely strong liquid), but this possibility is considered unlikely as this Would make water the strongest liquid ever known.