"not well perceived" is a correct and usable phrase in written English.
It is typically used to describe something that is not viewed or understood positively or accurately by others. Example: The new company policy was not well perceived by the employees, causing a decrease in morale and productivity.
Their problems are mostly not well perceived by their fellow urban decision makers.
Many postlingual recipients of cochlear implants (CIs) who achieve good speech recognition with their devices report that music is not well perceived.
There is every indication that the choices made by the students in the RP context, which is characterised by free parking, scantly depend on TCost attribute, probably because the real travel costs on car are not well perceived by the users.
The stake represented by risks from care environment is not well perceived in Algeria.
Also teachers are deemed important since they had an important task in this program, i.e., promotion of the vaccine, which was not well perceived by the women in the longitudinal study.
The five tastes are the simpler components -- sweet, sour, salt, bitter and umami (identified in Asian cultures but not yet well perceived in the West).
Certain values and norms in eating patterns are symbolic of broader structures in society as a whole and may not be well perceived by outsiders (Goody 1982).
However, these were not always well perceived.
Issues identified were perceived pressure to continue when not feeling well, perceived lack of support, and feeling 'in the middle' between patients and facilitators.
For alcohol consumption, the situation is quite different: prevalence is still very high among physicians and the dangers are not so well perceived.
Uncertainty-reducing effects are well perceived while other assumptions could not be confirmed.
