Should this tell me that my girlfriend really does love me?

A few days ago, I took her out to a restaurant and Christmas bar.

She said she had something for me and gave me a card.

In the card was a poem, a poem about lucky and grateful she is to have me, how good I make her feel, how she hopes she makes me feel the same and that she loves me.

Also, she's struggling to find another flat to move into, and her mum asked "Why don't you ask M (me) if you want to move in together?".

Does she love me?

Should this tell me that my girlfriend really does love me?
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