If you have arrived on this page because a natal-chart calculator showed you a "Sun sextile Mercury", I have to say something unwelcome straight away: inside a single chart, that aspect does not happen. Not "rarely happens" — it is physically impossible. Mercury is the innermost planet of the solar system; its orbit runs between the Earth and the Sun, and from where we stand it never appears to swing further than about 28° away from the Sun. That figure is its greatest elongation, an astronomical limit built into the very geometry of the orbits. To form a sextile you need an angular distance of 60°. Between the Sun and Mercury that distance can never exist — not at the moment of birth, not at any other moment.
So if your calculator produced such an aspect, I have questions for it rather than for you. There are three usual culprits. The first is that the program confuses the classical Mercury with an asteroid of the same name, or with progressed Mercury, and draws an aspect to that instead. The second is that you are looking at a synastry layout, where one chart's Sun is being measured against another chart's Mercury, but the program hasn't labelled it clearly. The third is the plain old display bug, especially common in free online calculators. Open your chart on astro.com or another trusted service, find the Sun and Mercury, and read the angular distance between them in degrees. If it is less than 28°, what you have is either a conjunction of some density or a free Mercury — but not a sextile.
Now to what people are usually really after when they search for this. In most cases someone is instinctively hunting for a description of a soft, undemanding link between will and mind: something that would give clarity of speech without scorching, a recognisable voice without the gluing-together of identity and thought. That configuration does exist — it simply has a different name. Its nearest astronomical equivalent is Mercury at its greatest elongation, that is, sitting roughly 20–28° from the Sun. In that position Mercury has fully left the zone of combustion (which ends at around 8°30′) and the "twilight" transition zone (from about 8° to 17°), and works on its own, at full strength.
What does that mean in practice? Someone with Mercury at greatest elongation has a mind that isn't welded to their identity. When another person criticises one of their ideas, they don't experience it as an attack on the self, as happens with a conjunction. They hear the criticism as information, test it, and if need be change their mind without losing their sense of who they are. That is a rare and genuinely valuable quality, and most people with a tight Sun–Mercury conjunction simply don't have it — and tight conjunctions are far more common in the population than greatest elongations, by the plain statistics of how the positions are distributed. A free Mercury turns up less often, and the people who carry it frequently make good editors, analysts, researchers and therapists: those for whom the ability to hold a distance between themselves and the thing they are thinking about really counts.
There is a quiet geometric consequence worth knowing. When Mercury is at greatest elongation, it and the Sun must be in neighbouring signs or one sign apart — never further, because 28° is not enough to leap across two signs. If the Sun is in Aries, Mercury can only be in Aries (conjunct), in Pisces (free, retrograde) or in Taurus (free, direct). If the Sun is in Pisces, Mercury can be in Pisces, Aquarius or Aries. And so on for every sign. This means a free Mercury often sits in a sign of a different polarity, or even an incompatible element, from the Sun: Mercury in Pisces with the Sun in Aries, say, or Mercury in Aquarius with the Sun in Capricorn. From the outside that gives a feeling that will and mind are running on different levels — which is, neatly enough, exactly the intuition that sent someone searching for a "sextile" in the first place.
When the Sun and Mercury do happen to fall in signs of the same polarity — fire with air, earth with water — even without any formal aspect a quiet inner compatibility appears: the will chooses a direction and the speech naturally backs it up, without pulling the spotlight onto itself. That is the very "gentle link" people are usually reaching for. It reads through the geometry of the signs, through the elements, through Mercury's position relative to the Sun — but not through any major aspect between them, because no such aspect exists in nature.
The real work with this configuration begins when you stop looking for something that isn't there and learn to see what actually is. Open the chart, measure the distance between Sun and Mercury in degrees, and place yourself in a band: cazimi (within about 17′ of exact), combustion (up to roughly 8°30′), twilight (up to about 17°) or free (from about 17° to 28°). That figure is where your reading of your own intellectual nature should start — not the name of an aspect handed to you by a software glitch. To see which band your Mercury actually sits in, and what it means for your particular chart, you'd want to check the exact angular distance in degrees and weigh up the sign, the house and the aspects to other planets. And, as always here, read it as something to reflect on for interest, not as a fixed account of who you are.