What ༄ and ࿐ really are
༄ is not a weather symbol. It is a Tibetan head mark (U+0F04, "initial yig mgo mdun ma") that traditionally opens a Tibetan text, often together with ༅ as ༄༅. ࿐ (U+0FD0) is another ornamental Tibetan mark. Their curls look like gusts of air, which is why people copy them as wind or swirl decorations.
Both are real text characters, so they follow your font color and size and never turn into emoji. Keep in mind that anyone who reads Tibetan will see them as punctuation, not wind.
Symbols with a real wind meaning
🌬︎ (wind face) is the official wind emoji, 💨 (dash symbol) is a puff of air or someone dashing off, 🌪︎ is a tornado, and 🌀 is the cyclone, used for storms and for feeling dizzy. 🍃 (leaf fluttering in wind) is the gentle option for a breeze.
Older systems have wind signs too. ☴ is the I Ching trigram for wind, 🜁 is the alchemical symbol for air (an upward triangle with a line through it), and the kanji 風 means wind. ꩜ is a spiral punctuation mark from the Cham script of Southeast Asia that works nicely as a whirl.
How to use wind symbols
Wind swirls look best next to something they can blow: leaves 🍃, clouds ☁︎ or waves. Try ༄ ⋆｡˚ 🍃 in a bio, or put ࿐ before and after a name. Find more leaves on the leaf symbol page and soft extras among the aesthetic symbols.
To type ༄ in Microsoft Word, enter 0F04 and press Alt + X. For the emoji, search the emoji keyboard for "wind", or press Windows + . on a PC and Control + Command + Space on a Mac.