If the anxiety is transformed by love, then we're talking about love.
If the anxiety co-exists with love, then we're talking about anything - perhaps even manipulation, guilt tripping and control. At the receiving end of this, the anxiety is what I see. The love means nothing to me. So please be careful. And I'm hoping we're talking the transformation option, for the sake of the recipient of the love. Otherwise, suffocation might be more the word.
I've just spent the day with my mother. I know she loves me. It doesn't change the manipulation and control. The anxiety needs to be transformed, not the perception of the anxiety.
I'm not saying anyone here is the above. Just saying it's possible. It's possible that love doesn't transend anxiety in practice. Awareness and clarity is a good thing.