I think the bloodshot eyes is very odd. What did the vet say about this? Ours have never had this happen to them? I would be very worried about it.
As with your little girl...has she been fearful of other men? I had a schnauzer that just passed away last year (13yrs) that was scared to death of men. I think perhaps she was abused at the breeders before we got her by a man - but of course I'm not sure. It took her about two months to get used to my husband when she first met him. Every time he would move she would bark like mad! After two months she decided he was her best friend and almost forgot about me! LOL So it really depends - I knew Jessie had issues with men before hand so it really didnt suprise me with her actions. Perhaps if you find out he isnt doing anything to your baby training could help. Just thought I would chime in my 2 cents worth