That was a really messed up situation, for sure. Great you're here to tell the story without further traumas.
I never did a de-ice/anti-ice procedure in my entire career ! That's a very unlikely procedure here in South America.
However, looks like the cenario you faced is warned by boeing in the supplementary procedure which regards this kind of procedure.
SP 16.8
CAUTION:After de-icing, the use of APU bleed air during takeoff may cause smoke in the airplane.
All the best !