early 14c., "to mingle, blend, mix" (a sense now obsolete), from Old North French medler (Old French mesler, 12c., Modern French mêler) "to mix, mingle, to meddle," from Vulgar Latin *misculare (source of Provençal mesclar, Spanish mezclar, Italian mescolare, meschiare), from Latin miscere "to mix" (from PIE root *meik- "to mix").
From late 14c. as "busy oneself, be concerned with, engage in," and in the disparaging sense of "interfere or take part in inappropriately or impertinently, be officious, make a nuisance of oneself" (the notion is of meddling too much), which is the surviving sense of the word. From mid-14c. to c. 1700 it also was a euphemism for "have sexual intercourse." Related: Meddled; meddling.
"government by bureaus," especially "tyrannical officialdom," excessive multiplication of administrative bureaus and concentration of power in them, in reference to their tendency to interfere in private matters and be inefficient and inflexible, 1818, from French bureaucratie, coined by French economist Jean Claude Marie Vincent de Gournay (1712-1759) on model of democratie, aristocratie, from bureau "office," literally "desk" (see bureau) + Greek suffix -kratia denoting "power of" (see -cracy).
That vast net-work of administrative tyranny ... that system of bureaucracy, which leaves no free agent in all France, except for the man at Paris who pulls the wires. [J.S. Mill, Westminster Review vol. xxviii, 1837]
bureaucrat, &c. The formation is so barbarous that all attempt at self-respect in pronunciation may perhaps as well be abandoned. [Fowler]