min-height doesn’t work for table elements:
In CSS 2.1, the effect of ‘min-width’ and ‘max-width’ on tables, inline tables, table cells, table columns, and column groups is undefined.
I can only assume this applies to td and tr as well.
What should always work is wrapping the content in a div, and applying min-height to that, as shown in this JSFiddle:
<td style="font-family:Arial;min-height:60px;font-size:12px;line-height:14px;">
<div style="min-height: 60px; background-color: green">
This is my text that I need in 2 lines
</div>
</td>
Edit: You say this doesn’t work with Outlook.
Alternative idea: Place a 60 px tall image in the td, and make it float: left:
<td>
<img src="https://stackoverflow.com/questions/8822082/..." style="float: left">
</td>