The only free and comprehensive online etymological dictionary of the Spanish language
te (Pronoun) "you," "to you"

From Latin te 'id.,' the accusative and ablative of tu "you." Latin accusative te from Proto-Italic *, from Proto-Indo-European *tu̯e. Latin ablative te from Proto-Italic *ted, from Proto-Indo-European *tu̯ed.
m. (Noun) "tea"

18th cent. Borrowed from Amoy 'id.'

"A Chinese legend ascribes its first discovery to one Darma, a missionary, famed throughout the East for his religious zeal, who, in order to set an example of piety to his followers, imposed on himself a number of privations, among which was that of forswearing sleep. After some days and nights passed in this austere manner, he was overcome and involuntarily fell into a deep slumber, on awakening from which he was so distressed at having violated his vow, and in order to prevent a repitition of allowing "tired eyelids to rest on tired eyes," he cut off the offending portions and flung them to the ground. On returning the next day, he discovered they had undergone a strange metamorphosis, becoming changed into a shrub, the like of which had never been seen before. Plucking some of the leaves and chewing them he found his spirits singularly exhilirated, and his former vigor so much restored that he immediately recommended the newly-discovered boon to his disciples.

"...The earliest European notice of Tea is that found in a work by Ramusio, first printed in 1550, though written several years prior to that year. In it he quotes Hazzi Mohamed in effect, "And these people of Cathay (China) do say that if these in our parts of the world only knew of Tea, there is no doubt that our merchants would cease to use Ravino Cini, as they call rhubarb."" ~ J. Walsh, Tea, Its History and Mystery (1892)
-te Suffix Occurs in place names and surnames, primarily around Mexico. From Nahuatl -che, a suffix denoting trees or houses made of wood.
techo m. (Noun) "roof"

Very early 13th cent. From Latin tectum 'id.,' from tegere "to cover." From Proto-Italic *teg-e/o- 'id.,' from Proto-Indo-European *(s)teg-e/o- 'id.,' but the earlier form was *(s)teg- without the thematic vowel.

Romance: Western Vulgar Latin: Asturian techu, Portuguese teto, Galician teito, French toit, Italian tetto

Indo-European: Celtic: Old Irish tech "house," Old Welsh tig 'id.,' Old Breton bou-tig "stable," Old Cornish ti "house;" Germanic: Old Norse þak "roof," Old High German dach 'id.,' Old English þæc 'id.;' Balto-Slavic: Old Prussian stogis "roof," Lithuanian stógas 'id.,' Latvian stâgs 'id.;' Hellenic: Ancient Greek τέγος (tégos) "roof"

"[In Indo-European society] roofs were thatched; words for 'roof' in some IE languages are cognate with words for 'thatch' in others, all of them derived from a verbal root meaning 'to cover.'" ~ B. Fortson, Indo-European Language and Culture (2011)
tejer (Verb) "to weave"

13th cent. From Latin texere 'id.' From Proto-Italic *teks-e/o- 'id.,' from *teḱ-s- "to fashion" (with earlier form *teḱ-).

Romance: Western Vulgar Latin: Asturian texer, Portuguese tecer, Catalan teixir, French tisser, Italian tessere ; Eastern Vulgar Latin: Aromanian tsas, Romanian tese ; Sardinian: tèssere

Indo-European: Germanic: Middle High German dehsen "to break flax" Indo-Iranian: Sanskrit tákṣati "he hammers," "he forms," Old Avestan tāšt "he fashions;" Anatolian: Hittite takš-zi "to devise"
tele- (Prefix) "distant"

16th cent. Borrowed from Ancient Greek τῆλε ‎(têle) "at a distance." From Proto-Indo-European *kwel- "far."

Indo-European: Celtic: Middle Welsh pell "far," Middle Breton pell 'id.,' Cornish pell 'id.'
teléfono m. (Noun) "telephone"

C. 1884. From tele- and -fono.
televisión f. (Noun) "television"

From tele- "distant" and visión.
tema m. (Noun) "topic"

15th cent. From Latin thema 'id.,' borrowed from Ancient Greek θέμα ‎(théma) "proposal," "topic." From Proto-Indo-European *dheh1- "to place."

Romance: Western Vulgar Latin: Portuguese teima, French thème, Italian tema ; Eastern Vulgar Latin: Romanian temă
temer (Verb) "to fear"

12th cent. From Latin timere 'id.' Of unknown origin.

Romance: Western Vulgar Latin: Asturian temer, Portuguese temer, Catalan témer, Italian temere ; Eastern Vulgar Latin: Romanian teme ; Sardinian: timere