A fetus was an unborn child. Fetuses were technically called "fetuses" until the moment of birth, as evidenced by the fact that Doctor Katherine Pulaski continued to explicitly monitor the "fetal pulse" during delivery. (TNG: "The Child")
In 2385, an image of a fetus was flashed into the minds of the Zhat Vash members by the Admonition. (PIC: "Broken Pieces")
The necessity of a womb[]
Generally, a fetus matured in a single, natural womb until the moment of birth, but there were exceptions. Some fetuses, particularly those of the Borg Collective, were known to have required no natural wombs at all. (TNG: "Q Who"; VOY: "Drone"; ENT: "Similitude") In other extreme cases, it was possible to implant the fetus into another womb. The fetal existence of Keiko O'Brien's second child was deliberately divided, due to an accident, between the wombs of his mother and Kira Nerys. (DS9: "Body Parts", et al.)
Medical examination of the fetus[]
As a routine part of the experience of pregnancy, fetuses were exposed to extensive medical scans in order to monitor development of the child against baseline expectations for a species.
Because Deanna Troi's fetus – which was eventually born as the child Ian Troi – was so unusual, it was under almost constant surveillance by Doctor Pulaski. (TNG: "The Child")
The Doctor's scans of B'Elanna Paris allowed him to construct very elaborate three-dimensional holograms of the fetus that would become Miral Paris. He was also able to predict a birth defect – a deviated spine – and to correct it while the child was still in the womb. Later, B'Elanna accessed these fetal holograms in order to get the computer to suggest additional pre-natal modifications that would de-emphasize the child's Klingon genes. (VOY: "Lineage")
Fetal health of other individuals was known to have been monitored on several other occasions. Samantha Wildman's baby Naomi Wildman was, as Kes once made clear, the subject of The Doctor's regular fetal scans. (VOY: "Dreadnought") One, a Borg created out of a transporter accident, also went through a fetal stage, which Seven of Nine actively monitored. (VOY: "Drone")
The fetus of James T. Kirk was under constant scan as a new, alternate reality emerged. (Star Trek)