Awkward? You'll see how quickly Euros will turn on Ukrainians. They'll have the nerve to demand explanations for why these refugees don't want to fight. Euros will then try to enlighten them, as to why Ukrainian refugees throwing themselves at minefields is their duty. When these refugees refuse to do so, anger will follow. They'll be accused of being Russian spies, forcefully conscripted and the ones who can hide will probably have to live clandestinely in slave like conditions.
With news that any Ukrainian can be a double agent for Putin, public support for Ukraine will continue to deteriorate and Ukraine will be left to fend for itself.