I believe the Church has been pretty consistent in banning tattoos.  (even the Old Testament Judaism) forbade tattoos.

I don't know what God thinks of a woman with a piercing in each ear lobe although I would hope He does not judge the custom harshly as it's (presumed) purpose is to decorate what is already beauty or beautiful.

OTOH, when I was a kid, I remember that men with pierced ears did it as a means of identifying who the queers were, aka "left is right and right is wrong" was the saying back then, meaning the homos had only their right ears pierced. Only piercing the left ear sent the message they were "real men" and definitely not queer.

These past decades however there seems to be a contest to see who can render their appearance the most hideous by tattoos, piercings, makeup and hairdos with freakish colors, and which is ugly by any measure. Ugly is ugly and God hates ugly.

Ah, I don't know.  I don't see anything wrong with a single piercing and relatively modest earring, or a necklace.  You could also claim she would have been "more perfect" if she had fasted on bread and water for many years.  Perfection does not consist primarily of the outward and the bodily.  It depends on the motivation and whether it's disordered, i.e driven by "vanity".  That distinction is actually one of the foundational princples of her Little Way, that perfection does not consist primarily of heroic deeds, but of interior dispositions, love, selflessness, etc.  If you recall she wore the earrings and wore her hair up for one reason only, to try to appear older and more mature, since she was petitioning Pope Leo XIII to get into the convent before the normal canonical age.  Nor does a woman who wants to put a pair of earrings on to look feminine or pretty engage in any kind of disorder, since it's natural for women to want to appear feminine and pretty.  Perhaps they should wear potato sacks all day so as not to appear feminine and pretty also.  It's all about the interior disposition.  If a woman puts on earrings for the reasons St. Therese did or just to appear more femine (let's say she has some masculine physical features and may be trying to offset it, or perhaps is somewhat homely and want to appear more pretty), then there's absolutely nothing "less perfect" about it, any more than a man might put on a nice suite for Mass to give a certain appearance.  In other words, whether or not earrings has anything to do with perfection is a matter of the internal forum dispositions of the individual.  Obvious, some actions in the external forum are inherently incompatible with interior perfection, but this isn't one of them.

I'd be thrilled to be as "less perfect" as either St. Therese or Zelle Martin.

From what I can see in that picture, that is not a clip-on earring. It looks like a thin wire hanging with no stud at the lobe.  I used to wear clip on earrings (now I just don't bother with earrings at all), and you couldn't find a clip on like that.  For clip-ons, you have to have at least a stud of some sort at the lobe where the clip-on mechanism can connect under the lobe and in the back.  Not sure if that makes sense.

As for the nose piercings, I know a couple of traditional Catholic women who have them.  One wears a stud and the other I have seen has one and wears a small ring on one side.  It is surprising to me that they have it, and it definitely takes away from the beauty of the woman (especially the ring).  It also makes it very difficult not to look at it when speaking with them.