Good for them. The EU has no right to dictate to other countries. The UN is the only international body that [probably?] has authority in this matter

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" The main destination of Natural gas, liquefied exports from Qatar are: China ($10B), India ($8.54B), South Korea ($7.38B), United Kingdom ($7.31B), and Belgium ($5.37B" (https://oec.world/en/profile/bilateral-product/natural-gas-liquefied/reporter/qat)

So while it would not ruin Quatar, it certainly would put a dent into their numbers.