This paper is the second in a series concerned with the level of access afforded to students who use educational interpreters. The first paper (Krause & Tessler, 2016) focused on factors affecting accuracy of messages produced by Cued Speech (CS) transliterators (expression). In this study, factors affecting intelligibility (reception by deaf consumers) of those messages is explored. Results for eight highly skilled receivers of CS showed that (a) overall intelligibility (72%) was higher than average accuracy (61%), (b) accuracy had a large positive effect on intelligibility, accounting for 26% of the variance, and (c) the likelihood that an utterance reached 70% intelligibility as a function of accuracy was sigmoidal, decreasing sharply for accuracy values below 65%. While no direct effect of lag time on intelligibility could be detected, intelligibility was most likely to exceed 70% for utterances produced with lag times between 0.6 and 1.8 s. Differences between CS transliterators suggested sources of transliterator variability (e.g. speechreadability, facial expression, non-manual markers, cueing rate) that are also likely to affect intelligibility and thus warrant further investigation. Such research, along with investigations of other communication options (e.g. American Sign Language, signed English systems, etc.) are important for ensuring accessibility to all students who use educational interpreters.