Not wanting to have sex with a white/black/Indian/Thai/whatever man because your experience makes you feel sick at the thought and declining any dates = not racist.
Saying that all white/black/Indian/Thai/whatever men are rapists and they make you sick = racist.
Refusing to be served in a shop by a white/black/Indian/Thai/whatever man, refusing urgent medical treatment from them, refusing to be in the same room as them at work because they make you sick = racist without the context of PTSD and unreasonable with it.
Telling somebody else that their husband being white/black/Indian/Thai/whatever makes you sick, they're all rapists and you are disowning them unless they get a divorce = racist even with the context.
To have a strong reaction, depending upon whether it is restricted to not wanting to have sex with somebody of that ethnicity again or whether it is the not being able to work, speak, receive medical treatment from, or try to control other people's choices, is something you need to address with experienced professionals, as that is unrealistic/unsustainable/horrendously stressful and yes, will be hurtful to innocent people if they are aware of your reaction.
Think of it - somebody was treated badly by a person who looks vaguely like you - well, was generally a similar skin and hair tone - and you say hello on their first day at work, they throw up. It's hurtful, isn't it? Being told 'I was abused by somebody with (for example) blonde hair, so I don't want you sitting at the next desk and can you not ever speak to me again?' would be unrealistic and hurtful. Because you weren't the person that hurt them and you wouldn't dye your hair so they weren't upset by your existence.
Please, get as much counselling/treatment as you can, as to have that strong reaction could be absolutely crippling if it continues.
But I will stress again that who you choose to form a sexual/romantic relationship with is completely and utterly your choice. 'No' is all that's required there. No explanation, no justification is needed. Just 'No'.