I M23 sustained an injury that will prevent me from having sex for a while my 22F girlfriend wants to open our relationship until I recover, is it time to end it?

I (m23) have been with my girlfriend (22f) for 2 years. 2 weeks ago I tore my hamstring while deadlifting, the pain is severe and I have to use crutches to walk and even with the crutches it is still painful, according to the doctor the injury requires at least 4 months to heal, my girlfriend took care of me since I got injured.

Before the injury we had an active sex life, that has to be postponed because the pain and the medications killed my sex drive, and even if I had a sex drive it would still be difficult and painful. I thought my girlfriend would be patient and understanding but she wasn't, a few days ago she came up to me and told me how frustrating it is to abstain for that long and it is unfair to keep her waiting, that her libido is high and sex is a "need" for her. She then asked for a one-sided open relationship until I recover, her justification is that it is only physical and she won't form any emotional bond with anybody.

I was devastated when I heard that, just when I thought the pain couldn't get any worse, my partner of 2 years is watching me experience excruciating pain and instead of easing my pain she is adding to it, I rejected her idea and she was visibly frustrated, she tried to convince me again yesterday but I shut her down again.

I don't know what to do I feel betrayed and I don't know if I should end the relationship