The other party adds me to refuse to answer the phone+reply to the text message. Can she still receive the message I sent?

I can receive it, but I may not be able to see it. Both text messages and phone calls can be blacklisted. Only when the other party wants to see who has called or sent a text message on the blacklist can they enter the corresponding program to check. Some phones will display rejected calls and messages at the top, while others will not. You can find a mobile phone and try it yourself, and you will understand!