Fiancee takes off ring during an argument???

Hey y'all, I've been pondering on what my next move should be regarding a sticky situation with my fiancee. I understand that y'all can only give me opinions, perspectives, and advice.

So to give alittle bit of background, we have been dating for almost two years and lets just say that the first year was a whirlwind of drama in between us and in both of our personal lives. As our love grew more deeper for one another my Fiancee finally purposed to me at the end of November, expressing to me her commitment to our future together.

Since then there has been a startling pattern of hers that honestly has been hurting my feelings. When we would argue over mainly me upsetting her (when in reality i don't throw the first stone), she ends up taking her engagement ring off that i had bought for her or she takes off mine. As well as insinuates that she's done with me. After the first time she had done that I had expressed to her that i take the ring she gave me very seriously (since it's my first engagement) and it symbolizes our future and our commitments to one another. And that when she takes it off, it hurts really deep inside. Her opinion is that her love shouldn't be tied down by some rings because it's deeper than that. After instances where she does take the ring off or ask for it back, once we make up she asks for me to just put it back on.

I love her so much and i really want to make this work because she does make me happy. But now im scared about the future and im wearing a ring that she just casual asked me to put back on after the fourth time it's been taken off my finger. How should I feel? What should i do? Any Advice?