It depends on the age of the child.
We always tried to be very responsive to DD (now 25 months). At 6 months we felt we needed our bed back and DD in her own room. You inevitably feel a separation and like she is moving onto a new phase. Its new for both of you but don't underestimate the strength and solidness of your attachment. Your relationship with her is strong, not fragile.
As she grows you are going to have to find a balance between being responsive and loving and setting boundaries and very gradually expecting more of her. There is inevitably a bit of a process of trial and error in finding out what she is ready for.
Mine is just over two now and sometimes I do have to insist on things. She is not happy and often is downright cross with me. It doesn't stop her loving me or being delighted to see me in the morning or me being her favourite "mummy jumby" which is her nickname for me. As a parent I've discovered that you have to bear your child's anger without thinking that your relationship is going to ruined forever. After all, children love their parents to bits - even in extreme cases where the parents are abusive and chaotic, children still hang on in there. It takes a lot to make a child not love its mother. They also need you to be able to "survive" their anger and to know that you are confident in the relationship and the love between you no matter what a little pain they have been that day!
Your DD is still very little so, with the transition to her own room, you are at the very very start of the journey of expecting her to start to fit in a tiny bit more than she could be expected to do as a tiny baby. I would continue to be very responsive and not let her cry. But you can keep returning to comfort her, but ultimately keep on putting her back in her own bed. Give it a good try. If its totally desperate and just not working and making you both really upset, perhaps think again and try later.
Are you sure its not being in your bed that is making her wake? Are you sure she isn't hungry/thirsty? Have you just made the transition to weaning? Entering a big new stage (eg solids, crawling, walking, language explosion) often sends sleep to pot anyway! You could be hitting one of the "sleep setbacks" that most babies have anway, regardless of the move.
I think you should carry on trusting your instincts. I would never have left DD to cry until recently. Now she is two though it is so different, she understands what I am saying to her, she understands that I have a permanence even when I am not physically present. She sometimes is a bit hyper and won't settle - so I leave her shouting "mummy" for a few minutes and then go back in for a cuddle, at which point she is ready to calm down and go to sleep. This would just not have worked eg at 18 months when she would just have got hysterically upset with genuine separation anxiety.
Give it a go with the own room thing - you can always fine tune your approach if needed. And be confident in your bond.